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114185808 = 24331124029
BaseRepresentation
bin1101100111001…
…01011001010000
321221212020111000
412303211121100
5213212421213
615155222000
72554364142
oct663453120
9257766430
10114185808
1159500540
12322a7900
131a86c689
1411244c92
15a057c73
hex6ce5650

114185808 has 80 divisors (see below), whose sum is σ = 357566400. Its totient is φ = 34600320.

The previous prime is 114185791. The next prime is 114185809. The reversal of 114185808 is 808581411.

It is a happy number.

It is a super-2 number, since 2×1141858082 = 26076797497225728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114185809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7263 + ... + 16766.

It is an arithmetic number, because the mean of its divisors is an integer number (4469580).

Almost surely, 2114185808 is an apocalyptic number.

114185808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114185808 is an abundant number, since it is smaller than the sum of its proper divisors (243380592).

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

114185808 is a wasteful number, since it uses less digits than its factorization.

114185808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24057 (or 24045 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 114185808 is about 10685.7759662085. The cubic root of 114185808 is about 485.1440504552.

The spelling of 114185808 in words is "one hundred fourteen million, one hundred eighty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 24029 48058 72087 96116 144174 192232 216261 264319 288348 384464 432522 528638 576696 648783 792957 865044 1057276 1153392 1297566 1585914 1730088 2114552 2378871 2595132 3171828 3460176 4229104 4757742 5190264 6343656 7136613 9515484 10380528 12687312 14273226 19030968 28546452 38061936 57092904 114185808