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22128960 = 263573789
BaseRepresentation
bin101010001101…
…0100101000000
31112122021020010
41110122211000
521131111320
62110144520
7356043630
oct124324500
945567203
1022128960
11115448a7
1274b2140
13477a479
142d206c0
151e21ae0
hex151a940

22128960 has 224 divisors, whose sum is σ = 83393280. Its totient is φ = 4866048.

The previous prime is 22128941. The next prime is 22128973. The reversal of 22128960 is 6982122.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248596 + ... + 248684.

Almost surely, 222128960 is an apocalyptic number.

22128960 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 22128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41696640).

22128960 is an abundant number, since it is smaller than the sum of its proper divisors (61264320).

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

22128960 is a wasteful number, since it uses less digits than its factorization.

22128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 22128960 is about 4704.1428549737. The cubic root of 22128960 is about 280.7503682542.

The spelling of 22128960 in words is "twenty-two million, one hundred twenty-eight thousand, nine hundred sixty".