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22146912 = 253325633
BaseRepresentation
bin101010001111…
…0111101100000
31112200011212000
41110132331200
521132200122
62110404000
7356150154
oct124367540
945604760
1022146912
1111557337
127500600
1347856a8
142d27064
151e270ac
hex151ef60

22146912 has 48 divisors (see below), whose sum is σ = 64597680. Its totient is φ = 7382016.

The previous prime is 22146893. The next prime is 22146919. The reversal of 22146912 is 21964122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×221469122 = 980971422271488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (22146919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11953 + ... + 13680.

It is an arithmetic number, because the mean of its divisors is an integer number (1345785).

Almost surely, 222146912 is an apocalyptic number.

It is an amenable number.

22146912 is an abundant number, since it is smaller than the sum of its proper divisors (42450768).

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

22146912 is a wasteful number, since it uses less digits than its factorization.

22146912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25652 (or 25638 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 22146912 is about 4706.0505734639. The cubic root of 22146912 is about 280.8262668101.

The spelling of 22146912 in words is "twenty-two million, one hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 25633 51266 76899 102532 153798 205064 230697 307596 410128 461394 615192 692091 820256 922788 1230384 1384182 1845576 2460768 2768364 3691152 5536728 7382304 11073456 22146912