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22993952 = 251959641
BaseRepresentation
bin101011110110…
…1110000100000
31121021012202212
41113231300200
521341301302
62140501252
7366305522
oct127556040
947235685
1022993952
1111a85773
12784a828
1349c10b7
1430a7a12
152043052
hex15edc20

22993952 has 48 divisors (see below), whose sum is σ = 48535200. Its totient is φ = 10690560.

The previous prime is 22993939. The next prime is 22993961. The reversal of 22993952 is 25939922.

Its product of digits (87480) is a multiple of the sum of its prime factors (729).

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, 35552 + ... + 36192.

It is an arithmetic number, because the mean of its divisors is an integer number (1011150).

Almost surely, 222993952 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 22993952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24267600).

22993952 is an abundant number, since it is smaller than the sum of its proper divisors (25541248).

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

22993952 is a wasteful number, since it uses less digits than its factorization.

22993952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its digits is 87480, while the sum is 41.

The square root of 22993952 is about 4795.2009342675. The cubic root of 22993952 is about 284.3617686876.

The spelling of 22993952 in words is "twenty-two million, nine hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 472 608 641 944 1121 1282 1888 2242 2564 4484 5128 8968 10256 12179 17936 20512 24358 35872 37819 48716 75638 97432 151276 194864 302552 389728 605104 718561 1210208 1437122 2874244 5748488 11496976 22993952