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233055225 = 3552132227
BaseRepresentation
bin11011110010000…
…10001111111001
3121020112102200000
431321002033321
5434130231400
635043103213
75526636204
oct1571021771
9536472600
10233055225
1110a60a927
1266071b09
133938bb00
1422d4893b
15156d8600
hexde423f9

233055225 has 108 divisors (see below), whose sum is σ = 470813616. Its totient is φ = 114229440.

The previous prime is 233055211. The next prime is 233055233. The reversal of 233055225 is 522550332.

It is not a de Polignac number, because 233055225 - 29 = 233054713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1026562 + ... + 1026788.

Almost surely, 2233055225 is an apocalyptic number.

233055225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233055225 is an abundant number, since it is smaller than the sum of its proper divisors (237758391).

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

233055225 is a wasteful number, since it uses less digits than its factorization.

233055225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 233055225 is about 15266.1463703189. The cubic root of 233055225 is about 615.3935612982.

The spelling of 233055225 in words is "two hundred thirty-three million, fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 169 195 225 227 243 325 351 405 507 585 675 681 845 975 1053 1135 1215 1521 1755 2025 2043 2535 2925 2951 3159 3405 4225 4563 5265 5675 6075 6129 7605 8775 8853 10215 12675 13689 14755 15795 17025 18387 22815 26325 26559 30645 38025 38363 41067 44265 51075 55161 68445 73775 78975 79677 91935 114075 115089 132795 153225 191815 205335 221325 239031 275805 342225 345267 398385 459675 575445 663975 717093 959075 1026675 1035801 1195155 1379025 1726335 1991925 2877225 3107403 3585465 5179005 5975775 8631675 9322209 15537015 17927325 25895025 46611045 77685075 233055225