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22329144 = 2332310127
BaseRepresentation
bin101010100101…
…1011100111000
31120000102211100
41111023130320
521204013034
62114331400
7360536355
oct125133470
946012740
1022329144
1111671242
127589b60
13481a616
142d7362c
151e61099
hex154b738

22329144 has 24 divisors (see below), whose sum is σ = 60474960. Its totient is φ = 7443024.

The previous prime is 22329127. The next prime is 22329173. The reversal of 22329144 is 44192322.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×223291443 (a number of 23 digits) contains 333 as substring.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 154992 + ... + 155135.

It is an arithmetic number, because the mean of its divisors is an integer number (2519790).

Almost surely, 222329144 is an apocalyptic number.

22329144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22329144 is an abundant number, since it is smaller than the sum of its proper divisors (38145816).

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

22329144 is a wasteful number, since it uses less digits than its factorization.

22329144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310139 (or 310132 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 22329144 is about 4725.3723662797. The cubic root of 22329144 is about 281.5944071182.

The spelling of 22329144 in words is "twenty-two million, three hundred twenty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 310127 620254 930381 1240508 1860762 2481016 2791143 3721524 5582286 7443048 11164572 22329144