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22896132 = 22372231693
BaseRepresentation
bin101011101010…
…1111000000100
31121002020120220
41113111320010
521330134012
62134424340
7365420400
oct127257004
947066526
1022896132
1111a19226
1278020b0
13498870c
143080100
15202408c
hex15d5e04

22896132 has 72 divisors (see below), whose sum is σ = 64886976. Its totient is φ = 6253632.

The previous prime is 22896119. The next prime is 22896149. The reversal of 22896132 is 23169822.

It is a happy number.

It is a super-2 number, since 2×228961322 = 1048465721122848, which contains 22 as substring.

Its product of digits (10368) is a multiple of the sum of its prime divisors (1728).

It is a junction number, because it is equal to n+sod(n) for n = 22896093 and 22896102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12678 + ... + 14370.

It is an arithmetic number, because the mean of its divisors is an integer number (901208).

Almost surely, 222896132 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 22896132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32443488).

22896132 is an abundant number, since it is smaller than the sum of its proper divisors (41990844).

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

22896132 is a wasteful number, since it uses less digits than its factorization.

22896132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1728 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 22896132 is about 4784.9902821218. The cubic root of 22896132 is about 283.9579551591.

The spelling of 22896132 in words is "twenty-two million, eight hundred ninety-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1693 1932 2254 3381 3386 4508 5079 6762 6772 10158 11851 13524 20316 23702 35553 38939 47404 71106 77878 82957 116817 142212 155756 165914 233634 248871 272573 331828 467268 497742 545146 817719 995484 1090292 1635438 1908011 3270876 3816022 5724033 7632044 11448066 22896132