To put it simply: whether carbon dioxide can be converted into organic matter can be autotrophic, but not heterotrophic. For example, plants and cyanobacteria can use light energy to convert carbon dioxide into organic matter through photosynthesis, so they are photoautotrophs. Nitrifying bacteria can use chemical energy (which can convert ammonia into nitrate and release a lot of chemical energy) to convert carbon dioxide into organic matter, and are chemoautotrophic bacteria. Other organisms can't convert carbon dioxide into organic matter, that is, heterotrophs.
scientific explanation
[Heterotrophication] Humans and animals cannot carry out photosynthesis like green plants, nor can they carry out chemical synthesis like nitrifying bacteria. They can only rely on the ready-made organic matter in the external environment to maintain their own life activities. This metabolic type belongs to heterotrophy.
Autotrophic green plants directly absorb inorganic substances from the external environment, make inorganic substances into complex organic substances through photosynthesis, and store energy to maintain their own life activities. This metabolic type belongs to autotrophic type. A few kinds of bacteria can't carry out photosynthesis, but they can use the energy released by oxidation of some inorganic substances in the external environment to make organic substances, and rely on the energy released by oxidation and decomposition of these organic substances to maintain their own life activities. This synthesis is called chemical synthesis. For example, nitrifying bacteria can transform ammonia (NH3) in soil into nitrous acid (HNO2) and nitric acid (HNO3), and use the energy released by this oxidation process to synthesize organic matter. In short, in the process of assimilation, organisms can convert inorganic substances ingested from the external environment into their own components and store energy. This type of metabolism is called autotrophic.