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230892467652 = 22357112283991
BaseRepresentation
bin1101011100001001000…
…0110111010111000100
3211001222021220122100000
43113002100313113010
512240331432431102
6254023122521300
722452505410240
oct3270220672704
9731867818300
10230892467652
1189a14862400
12388b9506230
1318a08571332
14b264c85420
1560155dd01c
hex35c24375c4

230892467652 has 432 divisors, whose sum is σ = 763784892416. Its totient is φ = 59699851200.

The previous prime is 230892467591. The next prime is 230892467693. The reversal of 230892467652 is 256764298032.

230892467652 is a `hidden beast` number, since 2 + 30 + 8 + 92 + 467 + 65 + 2 = 666.

It is a super-2 number, since 2×2308924676522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 232988877 + ... + 232989867.

Almost surely, 2230892467652 is an apocalyptic number.

230892467652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230892467652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381892446208).

230892467652 is an abundant number, since it is smaller than the sum of its proper divisors (532892424764).

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

230892467652 is a wasteful number, since it uses less digits than its factorization.

230892467652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 230892467652 in words is "two hundred thirty billion, eight hundred ninety-two million, four hundred sixty-seven thousand, six hundred fifty-two".