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22144992 = 253389593
BaseRepresentation
bin101010001111…
…0011111100000
31112200002012220
41110132133200
521132114432
62110351040
7356141442
oct124363740
945602186
1022144992
1111555951
1274bb480
13478485c
142d26492
151e2672c
hex151e7e0

22144992 has 48 divisors (see below), whose sum is σ = 58378320. Its totient is φ = 7350272.

The previous prime is 22144979. The next prime is 22145027. The reversal of 22144992 is 29944122.

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

It is a congruent number.

It is an unprimeable number.

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, 37048 + ... + 37640.

It is an arithmetic number, because the mean of its divisors is an integer number (1216215).

Almost surely, 222144992 is an apocalyptic number.

It is an amenable number.

22144992 is an abundant number, since it is smaller than the sum of its proper divisors (36233328).

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

22144992 is a wasteful number, since it uses less digits than its factorization.

22144992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 987 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 22144992 is about 4705.8465763346. The cubic root of 22144992 is about 280.8181512767.

The spelling of 22144992 in words is "twenty-two million, one hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 389 593 778 1167 1186 1556 1779 2334 2372 3112 3558 4668 4744 6224 7116 9336 9488 12448 14232 18672 18976 28464 37344 56928 230677 461354 692031 922708 1384062 1845416 2768124 3690832 5536248 7381664 11072496 22144992