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22780960 = 255142381
BaseRepresentation
bin101011011100…
…1110000100000
31120212101121021
41112321300200
521312442320
62132135224
7364430536
oct126716040
946771537
1022780960
111194a744
127767514
134948177
143050156
151eeedaa
hex15b9c20

22780960 has 24 divisors (see below), whose sum is σ = 53820396. Its totient is φ = 9112320.

The previous prime is 22780931. The next prime is 22780973. The reversal of 22780960 is 6908722.

It can be written as a sum of positive squares in 2 ways, for example, as 22695696 + 85264 = 4764^2 + 292^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 71031 + ... + 71350.

Almost surely, 222780960 is an apocalyptic number.

22780960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22780960 is an abundant number, since it is smaller than the sum of its proper divisors (31039436).

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

22780960 is a wasteful number, since it uses less digits than its factorization.

22780960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142396 (or 142388 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 22780960 is about 4772.9403935101. The cubic root of 22780960 is about 283.4810333337.

The spelling of 22780960 in words is "twenty-two million, seven hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 142381 284762 569524 711905 1139048 1423810 2278096 2847620 4556192 5695240 11390480 22780960