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226580760025 = 52312372832
BaseRepresentation
bin1101001100000101000…
…1000000010111011001
3210122211210200012101221
43103001101000113121
512203014133310100
6252031220012041
722240611453124
oct3230121002731
9718753605357
10226580760025
1188101a28674
1237ab5531021
131849c1b2c49
14ad763913bb
155d61ce501a
hex34c14405d9

226580760025 has 81 divisors (see below), whose sum is σ = 302012351613. Its totient is φ = 168620011200.

The previous prime is 226580760023. The next prime is 226580760031. The reversal of 226580760025 is 520067085622.

The square root of 226580760025 is 476005.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21509448921 + 205071311104 = 146661^2 + 452848^2 .

It is not a de Polignac number, because 226580760025 - 21 = 226580760023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (226580760023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2729888634 + ... + 2729888716.

Almost surely, 2226580760025 is an apocalyptic number.

226580760025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

226580760025 is the 476005-th square number.

226580760025 is the 238003-rd centered octagonal number.

It is an amenable number.

226580760025 is a deficient number, since it is larger than the sum of its proper divisors (75431591588).

226580760025 is an frugal number, since it uses more digits than its factorization.

226580760025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 226580760025 in words is "two hundred twenty-six billion, five hundred eighty million, seven hundred sixty thousand, twenty-five".

Divisors: 1 5 25 31 37 83 155 185 415 775 925 961 1147 1369 2075 2573 3071 4805 5735 6845 6889 12865 15355 24025 28675 34225 34445 35557 42439 64325 76775 79763 95201 113627 172225 177785 212195 213559 254893 398815 476005 568135 888925 1060975 1067795 1274465 1315609 1994075 2380025 2840675 2951231 3522437 5338975 6372325 6578045 6620329 7901683 9431041 14756155 17612185 32890225 33101645 39508415 47155205 73780775 88060925 109195547 165508225 197542075 235776025 244952173 292362271 545977735 1224760865 1461811355 2729888675 6123804325 7309056775 9063230401 45316152005 226580760025