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22996752 = 243736563
BaseRepresentation
bin101011110111…
…0011100010000
31121021100121120
41113232130100
521341344002
62140522240
7366316632
oct127563420
947240546
1022996752
1111a87889
127850380
1349c245c
1430a8a52
152043cbc
hex15ee710

22996752 has 40 divisors (see below), whose sum is σ = 60231264. Its totient is φ = 7559424.

The previous prime is 22996723. The next prime is 22996763. The reversal of 22996752 is 25769922.

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 7 ways as a sum of consecutive naturals, for example, 223 + ... + 6785.

Almost surely, 222996752 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 22996752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30115632).

22996752 is an abundant number, since it is smaller than the sum of its proper divisors (37234512).

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

22996752 is a wasteful number, since it uses less digits than its factorization.

22996752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6647 (or 6641 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 22996752 is about 4795.4928839484. The cubic root of 22996752 is about 284.3733105724.

The spelling of 22996752 in words is "twenty-two million, nine hundred ninety-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 6563 13126 19689 26252 39378 52504 78756 105008 157512 315024 479099 958198 1437297 1916396 2874594 3832792 5749188 7665584 11498376 22996752