Search a number
-
+
18916228224 = 273218119067
BaseRepresentation
bin10001100111011111…
…101011110010000000
31210211022012221212100
4101213133223302000
5302220023300344
612405012230400
71236522200265
oct214737536200
953738187770
1018916228224
118027799273
1237bb00b400
131a25cb966a
14cb63ad26c
1575aa3d569
hex4677ebc80

18916228224 has 96 divisors (see below), whose sum is σ = 54469481040. Its totient is φ = 6301232640.

The previous prime is 18916228181. The next prime is 18916228231. The reversal of 18916228224 is 42282261981.

18916228224 is a `hidden beast` number, since 18 + 9 + 1 + 622 + 8 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18916228224.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2081739 + ... + 2090805.

Almost surely, 218916228224 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 18916228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27234740520).

18916228224 is an abundant number, since it is smaller than the sum of its proper divisors (35553252816).

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

18916228224 is a wasteful number, since it uses less digits than its factorization.

18916228224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10898 (or 10883 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 18916228224 in words is "eighteen billion, nine hundred sixteen million, two hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1811 3622 5433 7244 9067 10866 14488 16299 18134 21732 27201 28976 32598 36268 43464 54402 57952 65196 72536 81603 86928 108804 115904 130392 145072 163206 173856 217608 231808 260784 290144 326412 347712 435216 521568 580288 652824 695424 870432 1043136 1160576 1305648 1740864 2086272 2611296 3481728 5222592 10445184 16420337 32840674 49261011 65681348 98522022 131362696 147783033 197044044 262725392 295566066 394088088 525450784 591132132 788176176 1050901568 1182264264 1576352352 2101803136 2364528528 3152704704 4729057056 6305409408 9458114112 18916228224