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22868980 = 225411672
BaseRepresentation
bin101011100111…
…1001111110100
31121000212100021
41113033033310
521323301410
62134054524
7365245261
oct127171764
947025307
1022868980
11119aa892
1277aa444
134979254
143074268
15201aeda
hex15cf3f4

22868980 has 36 divisors (see below), whose sum is σ = 49492548. Its totient is φ = 8871040.

The previous prime is 22868977. The next prime is 22868981. The reversal of 22868980 is 8986822.

It can be written as a sum of positive squares in 2 ways, for example, as 4016016 + 18852964 = 2004^2 + 4342^2 .

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22868981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136857 + ... + 137023.

It is an arithmetic number, because the mean of its divisors is an integer number (1374793).

Almost surely, 222868980 is an apocalyptic number.

22868980 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 22868980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24746274).

22868980 is an abundant number, since it is smaller than the sum of its proper divisors (26623568).

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

22868980 is a wasteful number, since it uses less digits than its factorization.

22868980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 22868980 is about 4782.1522351343. The cubic root of 22868980 is about 283.8456643418.

The spelling of 22868980 in words is "twenty-two million, eight hundred sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 167 205 334 410 668 820 835 1670 3340 6847 13694 27388 27889 34235 55778 68470 111556 136940 139445 278890 557780 1143449 2286898 4573796 5717245 11434490 22868980