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22832896 = 28791129
BaseRepresentation
bin101011100011…
…0011100000000
31120222000211211
41113012130000
521321123041
62133215504
7365035132
oct127063400
946860754
1022832896
1111985769
127791594
1349659b8
143065052
152010481
hex15c6700

22832896 has 36 divisors (see below), whose sum is σ = 46194400. Its totient is φ = 11261952.

The previous prime is 22832881. The next prime is 22832897. The reversal of 22832896 is 69823822.

It is a super-2 number, since 2×228328962 = 1042682279493632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22832897) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19660 + ... + 20788.

Almost surely, 222832896 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 22832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23097200).

22832896 is an abundant number, since it is smaller than the sum of its proper divisors (23361504).

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

22832896 is an equidigital number, since it uses as much as digits as its factorization.

22832896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1210 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 22832896 is about 4778.3779674697. The cubic root of 22832896 is about 283.6962963823.

It can be divided in two parts, 228 and 32896, that added together give a square (33124 = 1822).

The spelling of 22832896 in words is "twenty-two million, eight hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 632 1129 1264 2258 2528 4516 5056 9032 10112 18064 20224 36128 72256 89191 144512 178382 289024 356764 713528 1427056 2854112 5708224 11416448 22832896