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22908132 = 223213311579
BaseRepresentation
bin101011101100…
…0110011100100
31121002212001100
41113120303210
521331030012
62135000100
7365500362
oct127306344
947085040
1022908132
1111a27245
127809030
134991010
143084632
1520278dc
hex15d8ce4

22908132 has 72 divisors (see below), whose sum is σ = 64413440. Its totient is φ = 6816960.

The previous prime is 22908131. The next prime is 22908191. The reversal of 22908132 is 23180922.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22908096 and 22908105.

It is not an unprimeable number, because it can be changed into a prime (22908131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13719 + ... + 15297.

Almost surely, 222908132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22908132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32206720).

22908132 is an abundant number, since it is smaller than the sum of its proper divisors (41505308).

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

22908132 is a wasteful number, since it uses less digits than its factorization.

22908132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 22908132 is about 4786.2440389098. The cubic root of 22908132 is about 284.0075545170.

The spelling of 22908132 in words is "twenty-two million, nine hundred eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1579 1612 2418 3158 3627 4737 4836 6316 7254 9474 14211 14508 18948 20527 28422 41054 48949 56844 61581 82108 97898 123162 146847 184743 195796 246324 293694 369486 440541 587388 636337 738972 881082 1272674 1762164 1909011 2545348 3818022 5727033 7636044 11454066 22908132