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18226368 = 263231643
BaseRepresentation
bin100010110000…
…1110011000000
31021021222212200
41011201303000
514131220433
61450353200
7310631046
oct105416300
937258780
1018226368
11a319816
12612b800
133a12044
1425c6396
151900613
hex1161cc0

18226368 has 42 divisors (see below), whose sum is σ = 52244244. Its totient is φ = 6075264.

The previous prime is 18226361. The next prime is 18226381. The reversal of 18226368 is 86362281.

18226368 is a `hidden beast` number, since 18 + 2 + 2 + 636 + 8 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (18226361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15246 + ... + 16397.

Almost surely, 218226368 is an apocalyptic number.

18226368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18226368 is an abundant number, since it is smaller than the sum of its proper divisors (34017876).

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

18226368 is a wasteful number, since it uses less digits than its factorization.

18226368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31661 (or 31648 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 18226368 is about 4269.2350602889. The cubic root of 18226368 is about 263.1681807292.

The spelling of 18226368 in words is "eighteen million, two hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 31643 63286 94929 126572 189858 253144 284787 379716 506288 569574 759432 1012576 1139148 1518864 2025152 2278296 3037728 4556592 6075456 9113184 18226368