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22725090 = 2335174951
BaseRepresentation
bin101011010110…
…0000111100010
31120202112222000
41112230013202
521304200330
62131024430
7364105623
oct126540742
946675860
1022725090
1111911773
12773b116
1349288cb
143037a4a
151edd560
hex15ac1e2

22725090 has 64 divisors (see below), whose sum is σ = 64177920. Its totient is φ = 5702400.

The previous prime is 22725023. The next prime is 22725097. The reversal of 22725090 is 9052722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22725097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2115 + ... + 7065.

It is an arithmetic number, because the mean of its divisors is an integer number (1002780).

Almost surely, 222725090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22725090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32088960).

22725090 is an abundant number, since it is smaller than the sum of its proper divisors (41452830).

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

22725090 is a wasteful number, since it uses less digits than its factorization.

22725090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 22725090 is about 4767.0840143635. The cubic root of 22725090 is about 283.2490991429.

The spelling of 22725090 in words is "twenty-two million, seven hundred twenty-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 4951 9902 14853 24755 29706 44559 49510 74265 84167 89118 133677 148530 168334 222795 252501 267354 420835 445590 505002 668385 757503 841670 1262505 1336770 1515006 2272509 2525010 3787515 4545018 7575030 11362545 22725090