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230457426864 = 243719231167367
BaseRepresentation
bin1101011010100001010…
…1010100001110110000
3211000211222022021120020
43112220111110032300
512233434100124424
6253512022243440
722435643543610
oct3265025241660
9730758267506
10230457426864
1189811233865
12387b7886580
13189693b1552
14b22319ca40
155edc307079
hex35a85543b0

230457426864 has 480 divisors, whose sum is σ = 747728142336. Its totient is φ = 59842229760.

The previous prime is 230457426733. The next prime is 230457426907. The reversal of 230457426864 is 468624754032.

It is a super-2 number, since 2×2304574268642 (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 627949209 + ... + 627949575.

Almost surely, 2230457426864 is an apocalyptic number.

230457426864 is a gapful number since it is divisible by the number (24) 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 230457426864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373864071168).

230457426864 is an abundant number, since it is smaller than the sum of its proper divisors (517270715472).

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

230457426864 is a wasteful number, since it uses less digits than its factorization.

230457426864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 230457426864 in words is "two hundred thirty billion, four hundred fifty-seven million, four hundred twenty-six thousand, eight hundred sixty-four".