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22104192 = 273115233
BaseRepresentation
bin101010001010…
…0100010000000
31112121000020210
41110110202000
521124313232
62105434120
7355611465
oct124244200
945530223
1022104192
1111528230
12749b940
13476c106
142d1566c
151e195cc
hex1514880

22104192 has 64 divisors (see below), whose sum is σ = 64064160. Its totient is φ = 6696960.

The previous prime is 22104191. The next prime is 22104211. The reversal of 22104192 is 29140122.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (22104191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1608 + ... + 6840.

Almost surely, 222104192 is an apocalyptic number.

22104192 is a gapful number since it is divisible by the number (22) 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 22104192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32032080).

22104192 is an abundant number, since it is smaller than the sum of its proper divisors (41959968).

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

22104192 is a wasteful number, since it uses less digits than its factorization.

22104192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 22104192 is about 4701.5095448164. The cubic root of 22104192 is about 280.6455851851.

The spelling of 22104192 in words is "twenty-two million, one hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 5233 10466 15699 20932 31398 41864 57563 62796 83728 115126 125592 167456 172689 230252 251184 334912 345378 460504 502368 669824 690756 921008 1004736 1381512 1842016 2009472 2763024 3684032 5526048 7368064 11052096 22104192