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22149864 = 23321127967
BaseRepresentation
bin101010001111…
…1101011101000
31112200022220100
41110133223220
521132243424
62110425400
7356161602
oct124375350
945608810
1022149864
1111559580
127502260
134786b39
142d28172
151e27dc9
hex151fae8

22149864 has 48 divisors (see below), whose sum is σ = 65445120. Its totient is φ = 6711840.

The previous prime is 22149833. The next prime is 22149871. The reversal of 22149864 is 46894122.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13192 + ... + 14775.

It is an arithmetic number, because the mean of its divisors is an integer number (1363440).

Almost surely, 222149864 is an apocalyptic number.

22149864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22149864 is an abundant number, since it is smaller than the sum of its proper divisors (43295256).

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

22149864 is a wasteful number, since it uses less digits than its factorization.

22149864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27990 (or 27983 counting only the distinct ones).

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

The square root of 22149864 is about 4706.3642018016. The cubic root of 22149864 is about 280.8387435279.

The spelling of 22149864 in words is "twenty-two million, one hundred forty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 27967 55934 83901 111868 167802 223736 251703 307637 335604 503406 615274 671208 922911 1006812 1230548 1845822 2013624 2461096 2768733 3691644 5537466 7383288 11074932 22149864