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230716306411600 = 2452975946296557
BaseRepresentation
bin110100011101010111010011…
…011111001101000001010000
31010020220021010002012202021211
4310131113103133031001100
5220220023443420132400
62134405335153025504
766411463103033122
oct6435272337150120
91106807102182254
10230716306411600
1167571266231419
1221a62448255294
139b975ba255509
1440d8a2bc09212
151ba16d978edba
hexd1d5d37cd050

230716306411600 has 60 divisors (see below), whose sum is σ = 560010317239324. Its totient is φ = 91335115100160.

The previous prime is 230716306411573. The next prime is 230716306411601. The reversal of 230716306411600 is 6114603617032.

230716306411600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 11290863395344 + 219425443016256 = 3360188^2 + 14813016^2 .

It is a super-2 number, since 2×2307163064116002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230716306411601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2973109479 + ... + 2973187078.

Almost surely, 2230716306411600 is an apocalyptic number.

230716306411600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230716306411600 is an abundant number, since it is smaller than the sum of its proper divisors (329294010827724).

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

230716306411600 is a wasteful number, since it uses less digits than its factorization.

230716306411600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5946296672 (or 5946296661 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 230716306411600 in words is "two hundred thirty trillion, seven hundred sixteen billion, three hundred six million, four hundred eleven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 194 200 388 400 485 776 970 1552 1940 2425 3880 4850 7760 9700 19400 38800 5946296557 11892593114 23785186228 29731482785 47570372456 59462965570 95140744912 118925931140 148657413925 237851862280 297314827850 475703724560 576790766029 594629655700 1153581532058 1189259311400 2307163064116 2378518622800 2883953830145 4614326128232 5767907660290 9228652256464 11535815320580 14419769150725 23071630641160 28839538301450 46143261282320 57679076602900 115358153205800 230716306411600