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22394016 = 253325919
BaseRepresentation
bin101010101101…
…1010010100000
31120010201211000
41111123102200
521213102031
62115552000
7361226451
oct125332240
946121730
1022394016
1111705a57
1275bb600
134840cc8
142d8d128
151e753e6
hex155b4a0

22394016 has 48 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 7464384.

The previous prime is 22393993. The next prime is 22394033. The reversal of 22394016 is 61049322.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12096 + ... + 13823.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 222394016 is an apocalyptic number.

It is an amenable number.

22394016 is an abundant number, since it is smaller than the sum of its proper divisors (42924384).

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

22394016 is a wasteful number, since it uses less digits than its factorization.

22394016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25938 (or 25924 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 22394016 is about 4732.2316088712. The cubic root of 22394016 is about 281.8668452401.

The spelling of 22394016 in words is "twenty-two million, three hundred ninety-four thousand, sixteen".

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 25919 51838 77757 103676 155514 207352 233271 311028 414704 466542 622056 699813 829408 933084 1244112 1399626 1866168 2488224 2799252 3732336 5598504 7464672 11197008 22394016