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230369735232 = 26337213217947
BaseRepresentation
bin1101011010001100011…
…0110011001001000000
3211000121212022002021000
43112203012303021000
512233244123011412
6253455210532000
722433530304100
oct3264306631100
9730555262230
10230369735232
118977678983a
1238792437000
131895418a200
14b215693200
155ed47844dc
hex35a31b3240

230369735232 has 1008 divisors, whose sum is σ = 904212486720. Its totient is φ = 57122537472.

The previous prime is 230369735231. The next prime is 230369735237. The reversal of 230369735232 is 232537963032.

It is a happy number.

230369735232 is a `hidden beast` number, since 2 + 3 + 0 + 36 + 97 + 3 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (230369735231) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 243262183 + ... + 243263129.

Almost surely, 2230369735232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230369735232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452106243360).

230369735232 is an abundant number, since it is smaller than the sum of its proper divisors (673842751488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230369735232 is a wasteful number, since it uses less digits than its factorization.

230369735232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 230369735232 in words is "two hundred thirty billion, three hundred sixty-nine million, seven hundred thirty-five thousand, two hundred thirty-two".