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114631825 = 52721147181
BaseRepresentation
bin1101101010100…
…10010010010001
321222200220022011
412311102102101
5213321204300
615212542521
72561232400
oct665222221
9258626264
10114631825
1159785650
1232481a41
131a9976a9
141131d637
15a0e4eba
hex6d52491

114631825 has 72 divisors (see below), whose sum is σ = 185238144. Its totient is φ = 69552000.

The previous prime is 114631819. The next prime is 114631837. The reversal of 114631825 is 528136411.

It is not a de Polignac number, because 114631825 - 213 = 114623633 is a prime.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 633235 + ... + 633415.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 2114631825 is an apocalyptic number.

It is an amenable number.

114631825 is a deficient number, since it is larger than the sum of its proper divisors (70606319).

114631825 is a wasteful number, since it uses less digits than its factorization.

114631825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 114631825 is about 10706.6252853082. The cubic root of 114631825 is about 485.7748975892.

The spelling of 114631825 in words is "one hundred fourteen million, six hundred thirty-one thousand, eight hundred twenty-five".

Divisors: 1 5 7 11 25 35 47 49 55 77 175 181 235 245 275 329 385 517 539 905 1175 1225 1267 1645 1925 1991 2303 2585 2695 3619 4525 6335 8225 8507 8869 9955 11515 12925 13475 13937 18095 25333 31675 42535 44345 49775 57575 59549 69685 90475 93577 97559 126665 212675 221725 297745 348425 416843 467885 487795 633325 655039 1488725 2084215 2339425 2438975 3275195 4585273 10421075 16375975 22926365 114631825