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22128384 = 28328813
BaseRepresentation
bin101010001101…
…0011100000000
31112122020102210
41110122130000
521131102014
62110142120
7356042145
oct124323400
945566383
1022128384
1111544423
1274b1940
13477a125
142d203cc
151e21859
hex151a700

22128384 has 36 divisors (see below), whose sum is σ = 58895816. Its totient is φ = 7375872.

The previous prime is 22128371. The next prime is 22128409. The reversal of 22128384 is 48382122.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13639 + ... + 15174.

Almost surely, 222128384 is an apocalyptic number.

22128384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22128384 is an abundant number, since it is smaller than the sum of its proper divisors (36767432).

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

22128384 is an equidigital number, since it uses as much as digits as its factorization.

22128384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28832 (or 28818 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 22128384 is about 4704.0816319448. The cubic root of 22128384 is about 280.7479323269.

The spelling of 22128384 in words is "twenty-two million, one hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 28813 57626 86439 115252 172878 230504 345756 461008 691512 922016 1383024 1844032 2766048 3688064 5532096 7376128 11064192 22128384