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230264659881 = 32172974
BaseRepresentation
bin1101011001110011010…
…1111101111110101001
3211000100112120200222100
43112130311331332221
512233040223104011
6253440534444013
722431113213004
oct3263465757651
9730315520870
10230264659881
1189722441103
1238763203609
131893848a549
14b20574053b
155eca42ad56
hex359cd7dfa9

230264659881 has 45 divisors (see below), whose sum is σ = 357000780851. Its totient is φ = 142990304256.

The previous prime is 230264659879. The next prime is 230264659909. The reversal of 230264659881 is 188956462032.

The square root of 230264659881 is 479859.

It is a perfect power (a square), and thus also a powerful number.

230264659881 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 6 + 46 + 598 + 8 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 71714162025 + 158550497856 = 267795^2 + 398184^2 .

It is not a de Polignac number, because 230264659881 - 21 = 230264659879 is a prime.

It is a super-2 number, since 2×2302646598812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (230264659811) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2373862425 + ... + 2373862521.

Almost surely, 2230264659881 is an apocalyptic number.

230264659881 is the 479859-th square number.

230264659881 is the 239930-th centered octagonal number.

It is an amenable number.

230264659881 is a deficient number, since it is larger than the sum of its proper divisors (126736120970).

230264659881 is an frugal number, since it uses more digits than its factorization.

230264659881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 230264659881 in words is "two hundred thirty billion, two hundred sixty-four million, six hundred fifty-nine thousand, eight hundred eighty-one".

Divisors: 1 3 9 17 51 97 153 289 291 867 873 1649 2601 4947 9409 14841 28033 28227 84099 84681 159953 252297 479859 912673 1439577 2719201 2738019 8157603 8214057 15515441 24472809 46546323 88529281 139638969 263762497 265587843 791287491 796763529 1504997777 2373862473 4514993331 13544979993 25584962209 76754886627 230264659881