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242223408 = 24327415861
BaseRepresentation
bin11100111000000…
…00100100110000
3121212210020001100
432130000210300
5444002122113
640011404400
76000602460
oct1634004460
9555706040
10242223408
11114802039
1269153700
133b24bb7b
1424253ba0
15163e9d73
hexe700930

242223408 has 120 divisors (see below), whose sum is σ = 793761696. Its totient is φ = 67507200.

The previous prime is 242223347. The next prime is 242223413. The reversal of 242223408 is 804322242.

242223408 is a `hidden beast` number, since 2 + 422 + 234 + 0 + 8 = 666.

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, 38398 + ... + 44258.

Almost surely, 2242223408 is an apocalyptic number.

242223408 is a gapful number since it is divisible by the number (28) 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 242223408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396880848).

242223408 is an abundant number, since it is smaller than the sum of its proper divisors (551538288).

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

242223408 is a wasteful number, since it uses less digits than its factorization.

242223408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 242223408 is about 15563.5281347129. The cubic root of 242223408 is about 623.3596735194.

The spelling of 242223408 in words is "two hundred forty-two million, two hundred twenty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 72 82 84 112 123 126 144 164 168 246 252 287 328 336 369 492 504 574 656 738 861 984 1008 1148 1476 1722 1968 2296 2583 2952 3444 4592 5166 5861 5904 6888 10332 11722 13776 17583 20664 23444 35166 41027 41328 46888 52749 70332 82054 93776 105498 123081 140664 164108 210996 240301 246162 281328 328216 369243 421992 480602 492324 656432 720903 738486 843984 961204 984648 1441806 1476972 1682107 1922408 1969296 2162709 2883612 2953944 3364214 3844816 4325418 5046321 5767224 5907888 6728428 8650836 10092642 11534448 13456856 15138963 17301672 20185284 26913712 30277926 34603344 40370568 60555852 80741136 121111704 242223408