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114825568 = 251113231091
BaseRepresentation
bin1101101100000…
…01100101100000
322000001202001211
412312001211200
5213343404233
615221035504
72563000264
oct666014540
9260052054
10114825568
11598a8170
1232555b94
131aa34930
14113700a4
15a1325cd
hex6d81960

114825568 has 96 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 46041600.

The previous prime is 114825553. The next prime is 114825577. The reversal of 114825568 is 865528411.

It is a happy number.

It is a super-2 number, since 2×1148255682 = 26369822133045248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114825568.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104703 + ... + 105793.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2114825568 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 114825568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

114825568 is an abundant number, since it is smaller than the sum of its proper divisors (162559904).

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

114825568 is a wasteful number, since it uses less digits than its factorization.

114825568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1140 counting only the distinct ones).

The product of its digits is 76800, while the sum is 40.

The square root of 114825568 is about 10715.6692744784. The cubic root of 114825568 is about 486.0484182372.

The spelling of 114825568 in words is "one hundred fourteen million, eight hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 88 92 104 143 176 184 208 253 286 299 352 368 416 506 572 598 736 1012 1091 1144 1196 2024 2182 2288 2392 3289 4048 4364 4576 4784 6578 8096 8728 9568 12001 13156 14183 17456 24002 25093 26312 28366 34912 48004 50186 52624 56732 96008 100372 105248 113464 156013 192016 200744 226928 276023 312026 326209 384032 401488 453856 552046 624052 652418 802976 1104092 1248104 1304836 2208184 2496208 2609672 3588299 4416368 4992416 5219344 7176598 8832736 10438688 14353196 28706392 57412784 114825568