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114205725 = 32525361157
BaseRepresentation
bin1101100111010…
…10010000011101
321221220020210200
412303222100131
5213214040400
615155454113
72554506204
oct663522035
9257806720
10114205725
11595144a7
12322b7339
131a87876a
141124c23b
15a05db00
hex6cea41d

114205725 has 72 divisors (see below), whose sum is σ = 213180552. Its totient is φ = 58406400.

The previous prime is 114205709. The next prime is 114205727. The reversal of 114205725 is 527502411.

It can be written as a sum of positive squares in 12 ways, for example, as 62062884 + 52142841 = 7878^2 + 7221^2 .

It is not a de Polignac number, because 114205725 - 24 = 114205709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114205727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 727347 + ... + 727503.

It is an arithmetic number, because the mean of its divisors is an integer number (2960841).

Almost surely, 2114205725 is an apocalyptic number.

114205725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114205725 is a deficient number, since it is larger than the sum of its proper divisors (98974827).

114205725 is a wasteful number, since it uses less digits than its factorization.

114205725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 114205725 is about 10686.7078653812. The cubic root of 114205725 is about 485.1722560979.

The spelling of 114205725 in words is "one hundred fourteen million, two hundred five thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 61 75 157 159 183 225 265 305 471 477 549 785 795 915 1325 1413 1525 2355 2385 2745 3233 3925 3975 4575 7065 8321 9577 9699 11775 11925 13725 16165 24963 28731 29097 35325 41605 47885 48495 74889 80825 86193 124815 143655 145485 208025 239425 242475 374445 430965 507581 624075 718275 727425 1522743 1872225 2154825 2537905 4568229 7613715 12689525 22841145 38068575 114205725