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230334433032 = 233111761841349
BaseRepresentation
bin1101011010000100000…
…0001000011100001000
3211000112101212112202010
43112201000020130020
512233211103324112
6253451510135520
722432621243164
oct3264100103410
9730471775663
10230334433032
1189758867770
12387826515a0
1318949a79a32
14b210b03ca4
155ed160e63c
hex35a1008708

230334433032 has 128 divisors (see below), whose sum is σ = 676041552000. Its totient is φ = 64615526400.

The previous prime is 230334433027. The next prime is 230334433073.

It is a happy number.

230334433032 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146907 + ... + 694442.

It is an arithmetic number, because the mean of its divisors is an integer number (5281574625).

Almost surely, 2230334433032 is an apocalyptic number.

230334433032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230334433032 is an abundant number, since it is smaller than the sum of its proper divisors (445707118968).

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

230334433032 is a wasteful number, since it uses less digits than its factorization.

230334433032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841447 (or 841443 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 230334 and 433032, that added together give a palindrome (663366).

The spelling of 230334433032 in words is "two hundred thirty billion, three hundred thirty-four million, four hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 61 66 68 88 102 122 132 136 183 187 204 244 264 366 374 408 488 561 671 732 748 1037 1122 1342 1464 1496 2013 2074 2244 2684 3111 4026 4148 4488 5368 6222 8052 8296 11407 12444 16104 22814 24888 34221 45628 68442 91256 136884 273768 841349 1682698 2524047 3365396 5048094 6730792 9254839 10096188 14302933 18509678 20192376 27764517 28605866 37019356 42908799 51322289 55529034 57211732 74038712 85817598 102644578 111058068 114423464 153966867 157332263 171635196 205289156 222116136 307933734 314664526 343270392 410578312 471996789 564545179 615867468 629329052 872478913 943993578 1129090358 1231734936 1258658104 1693635537 1744957826 1887987156 2258180716 2617436739 3387271074 3489915652 3775974312 4516361432 5234873478 6774542148 6979831304 9597268043 10469746956 13549084296 19194536086 20939493912 28791804129 38389072172 57583608258 76778144344 115167216516 230334433032