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114171864 = 233172331201
BaseRepresentation
bin1101100111000…
…01111111011000
321221211112100120
412303201333120
5213211444424
615155033240
72554305402
oct663417730
9257745316
10114171864
11594a1014
123229b820
131a866221
141123db72
15a053a79
hex6ce1fd8

114171864 has 64 divisors (see below), whose sum is σ = 303769440. Its totient is φ = 35635200.

The previous prime is 114171851. The next prime is 114171877. The reversal of 114171864 is 468171411.

It is an interprime number because it is at equal distance from previous prime (114171851) and next prime (114171877).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94464 + ... + 95664.

Almost surely, 2114171864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114171864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151884720).

114171864 is an abundant number, since it is smaller than the sum of its proper divisors (189597576).

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

114171864 is a wasteful number, since it uses less digits than its factorization.

114171864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1456 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 114171864 is about 10685.1234901614. The cubic root of 114171864 is about 485.1243015794.

The spelling of 114171864 in words is "one hundred fourteen million, one hundred seventy-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 233 408 466 699 932 1201 1398 1864 2402 2796 3603 3961 4804 5592 7206 7922 9608 11883 14412 15844 20417 23766 28824 31688 40834 47532 61251 81668 95064 122502 163336 245004 279833 490008 559666 839499 1119332 1678998 2238664 3357996 4757161 6715992 9514322 14271483 19028644 28542966 38057288 57085932 114171864