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22120880 = 2451132447
BaseRepresentation
bin101010001100…
…0100110110000
31112121212010212
41110120212300
521130332010
62110043252
7356011235
oct124304660
945555125
1022120880
1111539821
1274a9528
1347768a2
142d1b78c
151e1e505
hex15189b0

22120880 has 40 divisors (see below), whose sum is σ = 51907392. Its totient is φ = 8766464.

The previous prime is 22120873. The next prime is 22120897. The reversal of 22120880 is 8802122.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7817 + ... + 10263.

Almost surely, 222120880 is an apocalyptic number.

22120880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25953696).

22120880 is an abundant number, since it is smaller than the sum of its proper divisors (29786512).

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

22120880 is a wasteful number, since it uses less digits than its factorization.

22120880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 22120880 is about 4703.2839591077. The cubic root of 22120880 is about 280.7161937437.

The spelling of 22120880 in words is "twenty-two million, one hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 2447 4520 4894 9040 9788 12235 19576 24470 39152 48940 97880 195760 276511 553022 1106044 1382555 2212088 2765110 4424176 5530220 11060440 22120880