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114206868 = 22332321999
BaseRepresentation
bin1101100111010…
…10100010010100
321221220022101000
412303222202110
5213214104433
615155503300
72554512426
oct663524224
9257808330
10114206868
1159515346
12322b7b30
131a879139
141124c816
15a05e113
hex6cea894

114206868 has 72 divisors (see below), whose sum is σ = 309680000. Its totient is φ = 36395568.

The previous prime is 114206849. The next prime is 114206879. The reversal of 114206868 is 868602411.

It is a super-3 number, since 3×1142068683 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56133 + ... + 58131.

Almost surely, 2114206868 is an apocalyptic number.

114206868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114206868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154840000).

114206868 is an abundant number, since it is smaller than the sum of its proper divisors (195473132).

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

114206868 is a wasteful number, since it uses less digits than its factorization.

114206868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 114206868 is about 10686.7613428952. The cubic root of 114206868 is about 485.1738746684.

The spelling of 114206868 in words is "one hundred fourteen million, two hundred six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 529 621 828 1058 1242 1587 1999 2116 2484 3174 3998 4761 5997 6348 7996 9522 11994 14283 17991 19044 23988 28566 35982 45977 53973 57132 71964 91954 107946 137931 183908 215892 275862 413793 551724 827586 1057471 1241379 1655172 2114942 2482758 3172413 4229884 4965516 6344826 9517239 12689652 19034478 28551717 38068956 57103434 114206868