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22920150 = 23521129479
BaseRepresentation
bin101011101101…
…1101111010110
31121010110112110
41113123233112
521331421100
62135131450
7365550411
oct127335726
947113473
1022920150
1111a35280
127813b86
134996626
143088b78
15202b250
hex15dbbd6

22920150 has 96 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 5353600.

The previous prime is 22920133. The next prime is 22920151. The reversal of 22920150 is 5102922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22920151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47611 + ... + 48089.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 222920150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22920150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

22920150 is an abundant number, since it is smaller than the sum of its proper divisors (41361450).

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

22920150 is a wasteful number, since it uses less digits than its factorization.

22920150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 22920150 is about 4787.4993472584. The cubic root of 22920150 is about 284.0572109169.

The spelling of 22920150 in words is "twenty-two million, nine hundred twenty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 29 30 33 50 55 58 66 75 87 110 145 150 165 174 275 290 319 330 435 479 550 638 725 825 870 957 958 1437 1450 1595 1650 1914 2175 2395 2874 3190 4350 4785 4790 5269 7185 7975 9570 10538 11975 13891 14370 15807 15950 23925 23950 26345 27782 31614 35925 41673 47850 52690 69455 71850 79035 83346 131725 138910 152801 158070 208365 263450 305602 347275 395175 416730 458403 694550 764005 790350 916806 1041825 1528010 2083650 2292015 3820025 4584030 7640050 11460075 22920150