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22920120 = 2332563667
BaseRepresentation
bin101011101101…
…1101110111000
31121010110111100
41113123232320
521331420440
62135131400
7365550336
oct127335670
947113440
1022920120
1111a35253
127813b60
134996602
143088b56
15202b230
hex15dbbb8

22920120 has 48 divisors (see below), whose sum is σ = 74491560. Its totient is φ = 6111936.

The previous prime is 22920113. The next prime is 22920133. The reversal of 22920120 is 2102922.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22920093 and 22920102.

It is a congruent number.

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, 31474 + ... + 32193.

Almost surely, 222920120 is an apocalyptic number.

22920120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22920120 is an abundant number, since it is smaller than the sum of its proper divisors (51571440).

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

22920120 is a wasteful number, since it uses less digits than its factorization.

22920120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63684 (or 63677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22920120 is about 4787.4962140977. The cubic root of 22920120 is about 284.0570869834.

The spelling of 22920120 in words is "twenty-two million, nine hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 63667 127334 191001 254668 318335 382002 509336 573003 636670 764004 955005 1146006 1273340 1528008 1910010 2292012 2546680 2865015 3820020 4584024 5730030 7640040 11460060 22920120