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226015141125132 = 223219492227671299
BaseRepresentation
bin110011011000111101000000…
…001100110101110000001100
31002122020211120210022222002200
4303120331000030311300030
5214111013002112001012
62120405531125321500
765415024615314562
oct6330750014656014
91078224523288080
10226015141125132
1166019534a65197
12214232b9566290
1399161a0760c38
143db529690da32
151b1e28c29c3dc
hexcd8f40335c0c

226015141125132 has 72 divisors (see below), whose sum is σ = 601387434648000. Its totient is φ = 71372951139168.

The previous prime is 226015141125127. The next prime is 226015141125173. The reversal of 226015141125132 is 231521141510622.

226015141125132 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 1 + 514 + 1 + 1 + 2 + 5 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336347619 + ... + 337018917.

It is an arithmetic number, because the mean of its divisors is an integer number (8352603259000).

Almost surely, 2226015141125132 is an apocalyptic number.

It is an amenable number.

226015141125132 is an abundant number, since it is smaller than the sum of its proper divisors (375372293522868).

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

226015141125132 is a wasteful number, since it uses less digits than its factorization.

226015141125132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163555 (or 1163550 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 226015141125132 its reverse (231521141510622), we get a palindrome (457536282635754).

The spelling of 226015141125132 in words is "two hundred twenty-six trillion, fifteen billion, one hundred forty-one million, one hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 492227 671299 984454 1342598 1476681 1968908 2013897 2685196 2953362 4027794 4430043 5906724 6041691 8055588 8860086 9352313 12083382 12754681 17720172 18704626 24166764 25509362 28056939 37409252 38264043 51018724 56113878 76528086 84170817 112227756 114792129 153056172 168341634 229584258 336683268 459168516 330431492873 660862985746 991294478619 1321725971492 1982588957238 2973883435857 3965177914476 5947766871714 6278198364587 11895533743428 12556396729174 18834595093761 25112793458348 37669190187522 56503785281283 75338380375044 113007570562566 226015141125132