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22768780 = 22517167401
BaseRepresentation
bin101011011011…
…0110010001100
31120211202220011
41112312302030
521312100110
62132003004
7364350166
oct126666214
946752804
1022768780
1111941581
127760464
134942768
143049936
151eeb48a
hex15b6c8c

22768780 has 48 divisors (see below), whose sum is σ = 51057216. Its totient is φ = 8499200.

The previous prime is 22768771. The next prime is 22768819. The reversal of 22768780 is 8786722.

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 15 ways as a sum of consecutive naturals, for example, 56580 + ... + 56980.

It is an arithmetic number, because the mean of its divisors is an integer number (1063692).

Almost surely, 222768780 is an apocalyptic number.

22768780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22768780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25528608).

22768780 is an abundant number, since it is smaller than the sum of its proper divisors (28288436).

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

22768780 is a wasteful number, since it uses less digits than its factorization.

22768780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 22768780 is about 4771.6642798923. The cubic root of 22768780 is about 283.4305026197.

The spelling of 22768780 in words is "twenty-two million, seven hundred sixty-eight thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 167 170 334 340 401 668 802 835 1604 1670 2005 2839 3340 4010 5678 6817 8020 11356 13634 14195 27268 28390 34085 56780 66967 68170 133934 136340 267868 334835 669670 1138439 1339340 2276878 4553756 5692195 11384390 22768780