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225356653522 = 272112131798167
BaseRepresentation
bin1101000111100001001…
…1011010001111010010
3210112200111022010222001
43101320103122033102
512143012300403042
6251305531104214
722165355643400
oct3217023321722
9715614263861
10225356653522
1187633a57300
12378135a206a
13183356cb180
14ac9b988470
155cde5e6bb7
hex34784da3d2

225356653522 has 144 divisors (see below), whose sum is σ = 468127356480. Its totient is φ = 80584701120.

The previous prime is 225356653517. The next prime is 225356653531.

225356653522 is nontrivially palindromic in base 10.

225356653522 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27589483 + ... + 27597649.

It is an arithmetic number, because the mean of its divisors is an integer number (3250884420).

Almost surely, 2225356653522 is an apocalyptic number.

225356653522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

225356653522 is an abundant number, since it is smaller than the sum of its proper divisors (242770702958).

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

225356653522 is a wasteful number, since it uses less digits than its factorization.

225356653522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8397 (or 8379 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 46.

It can be divided in two parts, 225356 and 653522, that added together give a palindrome (878878).

The spelling of 225356653522 in words is "two hundred twenty-five billion, three hundred fifty-six million, six hundred fifty-three thousand, five hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 121 143 154 179 182 242 286 358 539 637 847 1001 1078 1253 1274 1573 1694 1969 2002 2327 2506 3146 3938 4654 5929 7007 8167 8771 11011 11858 13783 14014 16289 16334 17542 21659 22022 25597 27566 32578 43318 51194 57169 77077 89837 96481 106171 114023 114338 151613 154154 179179 179674 192962 212342 228046 281567 303226 358358 400183 563134 628859 743197 800366 988207 1061291 1167881 1254253 1257718 1461893 1486394 1970969 1976414 2122582 2335762 2508506 2923786 3941938 4402013 5202379 6917449 8175167 8804026 10233251 10404758 12846691 13796783 13834898 16080823 16350334 19004609 20466502 25693382 27593566 32161646 38009218 48422143 57226169 71632757 89926837 96844286 112565761 114452338 133032263 143265514 176889053 179853674 209050699 225131522 266064526 353778106 418101398 629487859 787960327 931225841 1238223371 1258975718 1463354893 1575920654 1862451682 2299557689 2476446742 2926709786 4599115378 8667563597 10243484251 16096903823 17335127194 20486968502 32193807646 112678326761 225356653522