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22135008 = 253732939
BaseRepresentation
bin101010001110…
…0000011100000
31112122120112010
41110130003200
521131310013
62110232520
7356100360
oct124340340
945576463
1022135008
11115493a5
1274b5740
13478014c
142d229a0
151e237c3
hex151c0e0

22135008 has 48 divisors (see below), whose sum is σ = 66407040. Its totient is φ = 6324096.

The previous prime is 22134989. The next prime is 22135051. The reversal of 22135008 is 80053122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 15798 + ... + 17141.

It is an arithmetic number, because the mean of its divisors is an integer number (1383480).

Almost surely, 222135008 is an apocalyptic number.

22135008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22135008 is an abundant number, since it is smaller than the sum of its proper divisors (44272032).

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

22135008 is a wasteful number, since it uses less digits than its factorization.

22135008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32959 (or 32951 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 22135008 is about 4704.7856486773. The cubic root of 22135008 is about 280.7759429395.

The spelling of 22135008 in words is "twenty-two million, one hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 32939 65878 98817 131756 197634 230573 263512 395268 461146 527024 691719 790536 922292 1054048 1383438 1581072 1844584 2766876 3162144 3689168 5533752 7378336 11067504 22135008