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22290880 = 265411699
BaseRepresentation
bin101010100001…
…0000111000000
31112221111100011
41111002013000
521201302010
62113434304
7360316663
oct125020700
945844304
1022290880
1111645517
12756b994
134806091
142d636da
151e54a8a
hex15421c0

22290880 has 56 divisors (see below), whose sum is σ = 54406800. Its totient is φ = 8693760.

The previous prime is 22290871. The next prime is 22290883. The reversal of 22290880 is 8809222.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22290883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12271 + ... + 13969.

It is an arithmetic number, because the mean of its divisors is an integer number (971550).

Almost surely, 222290880 is an apocalyptic number.

22290880 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 22290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27203400).

22290880 is an abundant number, since it is smaller than the sum of its proper divisors (32115920).

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

22290880 is a wasteful number, since it uses less digits than its factorization.

22290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 22290880 is about 4721.3218488046. The cubic root of 22290880 is about 281.4334651519.

The spelling of 22290880 in words is "twenty-two million, two hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 1699 2624 3280 3398 6560 6796 8495 13120 13592 16990 27184 33980 54368 67960 69659 108736 135920 139318 271840 278636 348295 543680 557272 696590 1114544 1393180 2229088 2786360 4458176 5572720 11145440 22290880