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22145920 = 27534603
BaseRepresentation
bin101010001111…
…0101110000000
31112200010111021
41110132232000
521132132140
62110355224
7356144236
oct124365600
945603437
1022145920
1111556615
1274bbb14
1347850c4
142d26956
151e26b4a
hex151eb80

22145920 has 32 divisors (see below), whose sum is σ = 52944120. Its totient is φ = 8858112.

The previous prime is 22145911. The next prime is 22145923. The reversal of 22145920 is 2954122.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22145923) 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 3 ways as a sum of consecutive naturals, for example, 16662 + ... + 17941.

Almost surely, 222145920 is an apocalyptic number.

22145920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22145920 is an abundant number, since it is smaller than the sum of its proper divisors (30798200).

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

22145920 is an equidigital number, since it uses as much as digits as its factorization.

22145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34622 (or 34610 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 22145920 is about 4705.9451760512. The cubic root of 22145920 is about 280.8220738431.

The spelling of 22145920 in words is "twenty-two million, one hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 34603 69206 138412 173015 276824 346030 553648 692060 1107296 1384120 2214592 2768240 4429184 5536480 11072960 22145920