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230131332032 = 267557922237
BaseRepresentation
bin1101011001010011100…
…1010111001111000000
3211000000020200221112212
43112110321113033000
512232302110111112
6253415413041252
722424604022040
oct3262471271700
9730006627485
10230131332032
11896641569a8
1238726626228
1318916978124
14b1d1b55720
155ebd891522
hex3594e573c0

230131332032 has 56 divisors (see below), whose sum is σ = 522842544864. Its totient is φ = 98450537472.

The previous prime is 230131332029. The next prime is 230131332089. The reversal of 230131332032 is 230233131032.

230131332032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 230131331989 and 230131332007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211583 + ... + 710654.

Almost surely, 2230131332032 is an apocalyptic number.

It is an amenable number.

230131332032 is an abundant number, since it is smaller than the sum of its proper divisors (292711212832).

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

230131332032 is an equidigital number, since it uses as much as digits as its factorization.

230131332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922813 (or 922803 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 230131332032 its reverse (230233131032), we get a palindrome (460364463064).

The spelling of 230131332032 in words is "two hundred thirty billion, one hundred thirty-one million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 557 1114 2228 3899 4456 7798 8912 15596 17824 31192 35648 62384 124768 249536 922237 1844474 3688948 6455659 7377896 12911318 14755792 25822636 29511584 51645272 59023168 103290544 206581088 413162176 513686009 1027372018 2054744036 3595802063 4109488072 7191604126 8218976144 14383208252 16437952288 28766416504 32875904576 57532833008 115065666016 230131332032