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18222912 = 2632171861
BaseRepresentation
bin100010110000…
…0111101000000
31021021211010200
41011200331000
514131113122
61450325200
7310615011
oct105407500
937254120
1018222912
11a317164
126129800
133a105b6
1425c5008
1518ee5ac
hex1160f40

18222912 has 84 divisors (see below), whose sum is σ = 55334916. Its totient is φ = 5713920.

The previous prime is 18222871. The next prime is 18222913. The reversal of 18222912 is 21922281.

It can be written as a sum of positive squares in 2 ways, for example, as 5089536 + 13133376 = 2256^2 + 3624^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18222913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8862 + ... + 10722.

It is an arithmetic number, because the mean of its divisors is an integer number (658749).

Almost surely, 218222912 is an apocalyptic number.

18222912 is a gapful number since it is divisible by the number (12) 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 18222912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27667458).

18222912 is an abundant number, since it is smaller than the sum of its proper divisors (37112004).

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

18222912 is a wasteful number, since it uses less digits than its factorization.

18222912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1883 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 18222912 is about 4268.8302847501. The cubic root of 18222912 is about 263.1515460981.

The spelling of 18222912 in words is "eighteen million, two hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 1861 2448 3264 3722 4896 5583 7444 9792 11166 14888 16749 22332 29776 31637 33498 44664 59552 63274 66996 89328 94911 119104 126548 133992 178656 189822 253096 267984 284733 357312 379644 506192 535968 569466 759288 1012384 1071936 1138932 1518576 2024768 2277864 3037152 4555728 6074304 9111456 18222912