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226931362704 = 243217911877417
BaseRepresentation
bin1101001101011000101…
…0011100101110010000
3210200202020101122212100
43103112022130232100
512204223412101304
6252130102400400
722252366520304
oct3232612345620
9720666348770
10226931362704
1188271924652
1237b92a30100
1318526a1a557
14adaab77d04
155d8299c439
hex34d629cb90

226931362704 has 120 divisors (see below), whose sum is σ = 639264843360. Its totient is φ = 75147692544.

The previous prime is 226931362703. The next prime is 226931362733. The reversal of 226931362704 is 407263139622.

226931362704 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 3 + 13 + 627 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 226931362704.

It is not an unprimeable number, because it can be changed into a prime (226931362703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30592404 + ... + 30599820.

It is an arithmetic number, because the mean of its divisors is an integer number (5327207028).

Almost surely, 2226931362704 is an apocalyptic number.

226931362704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226931362704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319632421680).

226931362704 is an abundant number, since it is smaller than the sum of its proper divisors (412333480656).

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

226931362704 is a wasteful number, since it uses less digits than its factorization.

226931362704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8797 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 226931362704 in words is "two hundred twenty-six billion, nine hundred thirty-one million, three hundred sixty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 537 716 1074 1187 1432 1611 2148 2374 2864 3222 3561 4296 4748 6444 7122 7417 8592 9496 10683 12888 14244 14834 18992 21366 22251 25776 28488 29668 42732 44502 56976 59336 66753 85464 89004 118672 133506 170928 178008 212473 267012 356016 424946 534024 637419 849892 1068048 1274838 1327643 1699784 1912257 2549676 2655286 3399568 3824514 3982929 5099352 5310572 7649028 7965858 8803979 10198704 10621144 11948787 15298056 15931716 17607958 21242288 23897574 26411937 30596112 31863432 35215916 47795148 52823874 63726864 70431832 79235811 95590296 105647748 140863664 158471622 191180592 211295496 316943244 422590992 633886488 1267772976 1575912241 3151824482 4727736723 6303648964 9455473446 12607297928 14183210169 18910946892 25214595856 28366420338 37821893784 56732840676 75643787568 113465681352 226931362704