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230477744256 = 2731735306027
BaseRepresentation
bin1101011010100110001…
…0110100100010000000
3211000220101112111210020
43112221202310202000
512234004300304011
6253514025533440
722436311334154
oct3265142644200
9730811474706
10230477744256
11898217505a1
1238802644280
1318970676286
14b225b6b064
155eddebc006
hex35a98b4880

230477744256 has 64 divisors (see below), whose sum is σ = 648218674080. Its totient is φ = 72306741248.

The previous prime is 230477744219. The next prime is 230477744261. The reversal of 230477744256 is 652447774032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 230477744199 and 230477744208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17646486 + ... + 17659541.

Almost surely, 2230477744256 is an apocalyptic number.

It is an amenable number.

230477744256 is an abundant number, since it is smaller than the sum of its proper divisors (417740929824).

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

230477744256 is a wasteful number, since it uses less digits than its factorization.

230477744256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35306061 (or 35306049 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 51.

The spelling of 230477744256 in words is "two hundred thirty billion, four hundred seventy-seven million, seven hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 35306027 70612054 105918081 141224108 211836162 282448216 423672324 564896432 600202459 847344648 1129792864 1200404918 1694689296 1800607377 2259585728 2400809836 3389378592 3601214754 4519171456 4801619672 6778757184 7202429508 9603239344 13557514368 14404859016 19206478688 28809718032 38412957376 57619436064 76825914752 115238872128 230477744256