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230610366432 = 2532800730439
BaseRepresentation
bin1101011011000101110…
…0101110111111100000
3211001020122002102012200
43112301130232333200
512234242223211212
6253535124253200
722442511525555
oct3266134567740
9731218072180
10230610366432
118988a5a35a6
123883ab41200
1318991c9c434
14b239610a2c
155eea9676dc
hex35b172efe0

230610366432 has 36 divisors (see below), whose sum is σ = 655798230360. Its totient is φ = 76870122048.

The previous prime is 230610366431. The next prime is 230610366443. The reversal of 230610366432 is 234663016032.

230610366432 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 1 + 0 + 3 + 6 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2306103664322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230610366431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 400364932 + ... + 400365507.

It is an arithmetic number, because the mean of its divisors is an integer number (18216617510).

Almost surely, 2230610366432 is an apocalyptic number.

It is an amenable number.

230610366432 is an abundant number, since it is smaller than the sum of its proper divisors (425187863928).

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

230610366432 is a wasteful number, since it uses less digits than its factorization.

230610366432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800730455 (or 800730444 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 230610366432 in words is "two hundred thirty billion, six hundred ten million, three hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 800730439 1601460878 2402191317 3202921756 4804382634 6405843512 7206573951 9608765268 12811687024 14413147902 19217530536 25623374048 28826295804 38435061072 57652591608 76870122144 115305183216 230610366432