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22225060 = 225111319409
BaseRepresentation
bin101010011001…
…0000010100100
31112211011001101
41110302002210
521142200220
62112205444
7356624044
oct124620244
945734041
1022225060
1111600020
127539884
1347b2130
142d47724
151e4030a
hex15320a4

22225060 has 96 divisors (see below), whose sum is σ = 57859200. Its totient is φ = 7050240.

The previous prime is 22225043. The next prime is 22225081. The reversal of 22225060 is 6052222.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 54136 + ... + 54544.

It is an arithmetic number, because the mean of its divisors is an integer number (602700).

Almost surely, 222225060 is an apocalyptic number.

22225060 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 22225060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28929600).

22225060 is an abundant number, since it is smaller than the sum of its proper divisors (35634140).

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

22225060 is a wasteful number, since it uses less digits than its factorization.

22225060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 22225060 is about 4714.3461900883. The cubic root of 22225060 is about 281.1561886302.

Adding to 22225060 its reverse (6052222), we get a palindrome (28277282).

The spelling of 22225060 in words is "twenty-two million, two hundred twenty-five thousand, sixty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 95 110 130 143 190 209 220 247 260 286 380 409 418 494 572 715 818 836 988 1045 1235 1430 1636 2045 2090 2470 2717 2860 4090 4180 4499 4940 5317 5434 7771 8180 8998 10634 10868 13585 15542 17996 21268 22495 26585 27170 31084 38855 44990 53170 54340 58487 77710 85481 89980 101023 106340 116974 155420 170962 202046 233948 292435 341924 404092 427405 505115 584870 854810 1010230 1111253 1169740 1709620 2020460 2222506 4445012 5556265 11112530 22225060