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22839768 = 2332745317
BaseRepresentation
bin101011100100…
…0000111011000
31120222101021100
41113020013120
521321333033
62133311400
7365064150
oct127100730
946871240
1022839768
111198a946
127795560
134968b73
143067760
152012513
hex15c81d8

22839768 has 48 divisors (see below), whose sum is σ = 70696080. Its totient is φ = 6525504.

The previous prime is 22839737. The next prime is 22839793. The reversal of 22839768 is 86793822.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22155 + ... + 23162.

It is an arithmetic number, because the mean of its divisors is an integer number (1472835).

Almost surely, 222839768 is an apocalyptic number.

22839768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22839768 is an abundant number, since it is smaller than the sum of its proper divisors (47856312).

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

22839768 is a wasteful number, since it uses less digits than its factorization.

22839768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45336 (or 45329 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 22839768 is about 4779.0969858332. The cubic root of 22839768 is about 283.7247548164.

The spelling of 22839768 in words is "twenty-two million, eight hundred thirty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 45317 90634 135951 181268 271902 317219 362536 407853 543804 634438 815706 951657 1087608 1268876 1631412 1903314 2537752 2854971 3262824 3806628 5709942 7613256 11419884 22839768