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22190920 = 2352332381
BaseRepresentation
bin101010010100…
…1101101001000
31112202102012221
41110221231020
521140102140
62111343424
7356422363
oct124515510
945672187
1022190920
1111587404
127521b74
13479c72b
142d390da
151e3514a
hex1529b48

22190920 has 32 divisors (see below), whose sum is σ = 50164920. Its totient is φ = 8834560.

The previous prime is 22190893. The next prime is 22190921. The reversal of 22190920 is 2909122.

It can be written as a sum of positive squares in 4 ways, for example, as 6461764 + 15729156 = 2542^2 + 3966^2 .

It is not an unprimeable number, because it can be changed into a prime (22190921) by changing a digit.

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, 8130 + ... + 10510.

Almost surely, 222190920 is an apocalyptic number.

22190920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22190920 is an abundant number, since it is smaller than the sum of its proper divisors (27974000).

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

22190920 is a wasteful number, since it uses less digits than its factorization.

22190920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 22190920 is about 4710.7239358723. The cubic root of 22190920 is about 281.0121531536.

The spelling of 22190920 in words is "twenty-two million, one hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 233 466 932 1165 1864 2330 2381 4660 4762 9320 9524 11905 19048 23810 47620 95240 554773 1109546 2219092 2773865 4438184 5547730 11095460 22190920