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214599112 = 237133137257
BaseRepresentation
bin11001100101010…
…00010111001000
3112221210202122021
430302220113020
5414414132422
633143334224
75214030250
oct1462502710
9487722567
10214599112
11100154542
125ba51374
13355c9330
1420702960
1513c8edc7
hexcca85c8

214599112 has 128 divisors (see below), whose sum is σ = 527063040. Its totient is φ = 79626240.

The previous prime is 214599089. The next prime is 214599127. The reversal of 214599112 is 211995412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834888 + ... + 835144.

It is an arithmetic number, because the mean of its divisors is an integer number (4117680).

Almost surely, 2214599112 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 214599112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263531520).

214599112 is an abundant number, since it is smaller than the sum of its proper divisors (312463928).

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

214599112 is a wasteful number, since it uses less digits than its factorization.

214599112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its digits is 6480, while the sum is 34.

The square root of 214599112 is about 14649.2017529966. The cubic root of 214599112 is about 598.7000671397.

The spelling of 214599112 in words is "two hundred fourteen million, five hundred ninety-nine thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 31 37 52 56 62 74 91 104 124 148 182 217 248 257 259 296 364 403 434 481 514 518 728 806 868 962 1028 1036 1147 1612 1736 1799 1924 2056 2072 2294 2821 3224 3341 3367 3598 3848 4588 5642 6682 6734 7196 7967 8029 9176 9509 11284 13364 13468 14392 14911 15934 16058 19018 22568 23387 26728 26936 29822 31868 32116 38036 46774 55769 59644 63736 64232 66563 76072 93548 103571 104377 111538 119288 123617 133126 187096 207142 208754 223076 247234 266252 294779 414284 417508 446152 494468 532504 589558 724997 828568 835016 865319 988936 1179116 1449994 1730638 2063453 2358232 2899988 3461276 3832127 4126906 5799976 6922552 7664254 8253812 15328508 16507624 26824889 30657016 53649778 107299556 214599112