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22494880 = 255140593
BaseRepresentation
bin101010111001…
…1111010100000
31120022212011201
41111303322200
521224314010
62122050544
7362126512
oct125637240
946285151
1022494880
1111774811
127649a54
134877ba5
142db7bb2
151e9523a
hex1573ea0

22494880 has 24 divisors (see below), whose sum is σ = 53144532. Its totient is φ = 8997888.

The previous prime is 22494869. The next prime is 22494881. The reversal of 22494880 is 8849422.

22494880 = T33 + T34 + ... + T512.

It can be written as a sum of positive squares in 2 ways, for example, as 21641104 + 853776 = 4652^2 + 924^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22494881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70137 + ... + 70456.

Almost surely, 222494880 is an apocalyptic number.

22494880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22494880 is an abundant number, since it is smaller than the sum of its proper divisors (30649652).

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

22494880 is a wasteful number, since it uses less digits than its factorization.

22494880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140608 (or 140600 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 22494880 is about 4742.8767641591. The cubic root of 22494880 is about 282.2893932422.

The spelling of 22494880 in words is "twenty-two million, four hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 140593 281186 562372 702965 1124744 1405930 2249488 2811860 4498976 5623720 11247440 22494880