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22789968 = 2431924989
BaseRepresentation
bin101011011101…
…1111101010000
31120212211221220
41112323331100
521313234333
62132245040
7364466025
oct126737520
946784856
1022789968
1111956493
127770780
13494c2b6
14305354c
1520028b3
hex15bbf50

22789968 has 40 divisors (see below), whose sum is σ = 61975200. Its totient is φ = 7196544.

The previous prime is 22789967. The next prime is 22789981. The reversal of 22789968 is 86998722.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22789968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22789967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11583 + ... + 13406.

It is an arithmetic number, because the mean of its divisors is an integer number (1549380).

Almost surely, 222789968 is an apocalyptic number.

It is an amenable number.

22789968 is an abundant number, since it is smaller than the sum of its proper divisors (39185232).

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

22789968 is a wasteful number, since it uses less digits than its factorization.

22789968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25019 (or 25013 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 22789968 is about 4773.8839533445. The cubic root of 22789968 is about 283.5183929041.

It can be divided in two parts, 2278 and 9968, that added together give a triangular number (12246 = T156).

The spelling of 22789968 in words is "twenty-two million, seven hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 24989 49978 74967 99956 149934 199912 299868 399824 474791 599736 949582 1199472 1424373 1899164 2848746 3798328 5697492 7596656 11394984 22789968