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230707685376 = 2113373789181
BaseRepresentation
bin1101011011011100111…
…1111110100000000000
3211001111102012201201000
43112313033332200000
512234442131413001
6253552522212000
722445102653350
oct3266717764000
9731442181630
10230707685376
118992a523783
1238867654000
13189a91b47cc
14b248504b60
15600428ca86
hex35b73fe800

230707685376 has 768 divisors, whose sum is σ = 815645376000. Its totient is φ = 63063982080.

The previous prime is 230707685359. The next prime is 230707685381. The reversal of 230707685376 is 673586707032.

230707685376 is a `hidden beast` number, since 2 + 30 + 7 + 0 + 76 + 8 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2307076853762 (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 63 ways as a sum of consecutive naturals, for example, 1274628006 + ... + 1274628186.

It is an arithmetic number, because the mean of its divisors is an integer number (1062038250).

Almost surely, 2230707685376 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 230707685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407822688000).

230707685376 is an abundant number, since it is smaller than the sum of its proper divisors (584937690624).

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

230707685376 is a wasteful number, since it uses less digits than its factorization.

230707685376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 230707685376 in words is "two hundred thirty billion, seven hundred seven million, six hundred eighty-five thousand, three hundred seventy-six".