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22768980 = 22351329191
BaseRepresentation
bin101011011011…
…0110101010100
31120211210011120
41112312311110
521312101410
62132003540
7364350603
oct126666524
946753146
1022768980
1111941743
1277605b0
134942890
143049a3a
151eeb570
hex15b6d54

22768980 has 48 divisors (see below), whose sum is σ = 68659584. Its totient is φ = 5604480.

The previous prime is 22768939. The next prime is 22768987. The reversal of 22768980 is 8986722.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22768987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13816 + ... + 15375.

It is an arithmetic number, because the mean of its divisors is an integer number (1430408).

Almost surely, 222768980 is an apocalyptic number.

22768980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22768980 is an abundant number, since it is smaller than the sum of its proper divisors (45890604).

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

22768980 is a wasteful number, since it uses less digits than its factorization.

22768980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29216 (or 29214 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 22768980 is about 4771.6852368948. The cubic root of 22768980 is about 283.4313324977.

The spelling of 22768980 in words is "twenty-two million, seven hundred sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 29191 58382 87573 116764 145955 175146 291910 350292 379483 437865 583820 758966 875730 1138449 1517932 1751460 1897415 2276898 3794830 4553796 5692245 7589660 11384490 22768980