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230749666560 = 2832572861479
BaseRepresentation
bin1101011011100111000…
…0000111110100000000
3211001121100012121001200
43112321300013310000
512240033403312220
6254001022101200
722446122542440
oct3267160076400
9731540177050
10230749666560
1189951197876
123887971a800
13189b4ac304a
14b24dd12120
156007cd1890
hex35b9c07d00

230749666560 has 216 divisors, whose sum is σ = 912422958720. Its totient is φ = 52742762496.

The previous prime is 230749666519. The next prime is 230749666571. The reversal of 230749666560 is 65666947032.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 230749666497 and 230749666506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1350100 + ... + 1511379.

Almost surely, 2230749666560 is an apocalyptic number.

230749666560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230749666560 is an abundant number, since it is smaller than the sum of its proper divisors (681673292160).

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

230749666560 is a wasteful number, since it uses less digits than its factorization.

230749666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861513 (or 2861496 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 230749666560 in words is "two hundred thirty billion, seven hundred forty-nine million, six hundred sixty-six thousand, five hundred sixty".