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22342980 = 22351197349
BaseRepresentation
bin101010100111…
…0110101000100
31120001010210210
41111032311010
521204433410
62114515420
7360624612
oct125166504
946033723
1022342980
1111680680
127595b70
1348239ca
142d786b2
151e65220
hex154ed44

22342980 has 96 divisors (see below), whose sum is σ = 69148800. Its totient is φ = 5345280.

The previous prime is 22342961. The next prime is 22343003. The reversal of 22342980 is 8924322.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63846 + ... + 64194.

It is an arithmetic number, because the mean of its divisors is an integer number (720300).

Almost surely, 222342980 is an apocalyptic number.

22342980 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 22342980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34574400).

22342980 is an abundant number, since it is smaller than the sum of its proper divisors (46805820).

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

22342980 is a wasteful number, since it uses less digits than its factorization.

22342980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 22342980 is about 4726.8361511692. The cubic root of 22342980 is about 281.6525573658.

The spelling of 22342980 in words is "twenty-two million, three hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 349 388 485 582 660 698 970 1047 1067 1164 1396 1455 1745 1940 2094 2134 2910 3201 3490 3839 4188 4268 5235 5335 5820 6402 6980 7678 10470 10670 11517 12804 15356 16005 19195 20940 21340 23034 32010 33853 38390 46068 57585 64020 67706 76780 101559 115170 135412 169265 203118 230340 338530 372383 406236 507795 677060 744766 1015590 1117149 1489532 1861915 2031180 2234298 3723830 4468596 5585745 7447660 11171490 22342980