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22628540 = 22511731409
BaseRepresentation
bin101011001010…
…0100010111100
31120120122112002
41112110202330
521243103130
62125001432
7363224264
oct126244274
946518462
1022628540
1111856180
1276b3278
1348c398c
1430107a4
151ebeb45
hex15948bc

22628540 has 48 divisors (see below), whose sum is σ = 52587360. Its totient is φ = 8110080.

The previous prime is 22628533. The next prime is 22628579. The reversal of 22628540 is 4582622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15356 + ... + 16764.

It is an arithmetic number, because the mean of its divisors is an integer number (1095570).

Almost surely, 222628540 is an apocalyptic number.

22628540 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 22628540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26293680).

22628540 is an abundant number, since it is smaller than the sum of its proper divisors (29958820).

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

22628540 is a wasteful number, since it uses less digits than its factorization.

22628540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 22628540 is about 4756.9464995940. The cubic root of 22628540 is about 282.8473915723.

The spelling of 22628540 in words is "twenty-two million, six hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1409 1460 1606 2818 3212 4015 5636 7045 8030 14090 15499 16060 28180 30998 61996 77495 102857 154990 205714 309980 411428 514285 1028570 1131427 2057140 2262854 4525708 5657135 11314270 22628540