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18214056 = 2332771509
BaseRepresentation
bin100010101111…
…0110010101000
31021021100222200
41011132302220
514130322211
61450220200
7310550130
oct105366250
937240880
1018214056
11a310543
126124660
133a09563
1425c1ac0
1518ebb56
hex115eca8

18214056 has 96 divisors (see below), whose sum is σ = 57283200. Its totient is φ = 5120640.

The previous prime is 18214043. The next prime is 18214061. The reversal of 18214056 is 65041281.

It is a super-2 number, since 2×182140562 = 663503671942272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35530 + ... + 36038.

It is an arithmetic number, because the mean of its divisors is an integer number (596700).

Almost surely, 218214056 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 18214056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641600).

18214056 is an abundant number, since it is smaller than the sum of its proper divisors (39069144).

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

18214056 is a wasteful number, since it uses less digits than its factorization.

18214056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 18214056 is about 4267.7928721999. The cubic root of 18214056 is about 263.1089102538.

The spelling of 18214056 in words is "eighteen million, two hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 71 72 84 126 142 168 213 252 284 426 497 504 509 568 639 852 994 1018 1278 1491 1527 1704 1988 2036 2556 2982 3054 3563 3976 4072 4473 4581 5112 5964 6108 7126 8946 9162 10689 11928 12216 14252 17892 18324 21378 28504 32067 35784 36139 36648 42756 64134 72278 85512 108417 128268 144556 216834 252973 256536 289112 325251 433668 505946 650502 758919 867336 1011892 1301004 1517838 2023784 2276757 2602008 3035676 4553514 6071352 9107028 18214056