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22794980 = 22513731201
BaseRepresentation
bin101011011110…
…1001011100100
31120220002211112
41112331023210
521313414410
62132324152
7364516445
oct126751344
946802745
1022794980
111195a22a
127773658
134951670
1430552cc
152004105
hex15bd2e4

22794980 has 48 divisors (see below), whose sum is σ = 52301424. Its totient is φ = 8294400.

The previous prime is 22794979. The next prime is 22794983. The reversal of 22794980 is 8949722.

It can be written as a sum of positive squares in 8 ways, for example, as 7365796 + 15429184 = 2714^2 + 3928^2 .

It is a super-2 number, since 2×227949802 = 1039222226400800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22794983) 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, 18380 + ... + 19580.

It is an arithmetic number, because the mean of its divisors is an integer number (1089613).

Almost surely, 222794980 is an apocalyptic number.

22794980 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 22794980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26150712).

22794980 is an abundant number, since it is smaller than the sum of its proper divisors (29506444).

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

22794980 is a wasteful number, since it uses less digits than its factorization.

22794980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 22794980 is about 4774.4088639328. The cubic root of 22794980 is about 283.5391752944.

The spelling of 22794980 in words is "twenty-two million, seven hundred ninety-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1201 1460 1898 2402 3796 4745 4804 6005 9490 12010 15613 18980 24020 31226 62452 78065 87673 156130 175346 312260 350692 438365 876730 1139749 1753460 2279498 4558996 5698745 11397490 22794980