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22468680 = 23325134801
BaseRepresentation
bin101010110110…
…1100001001000
31120021112020100
41111231201020
521222444210
62121325400
7361660233
oct125554110
946245210
1022468680
1111757063
127636860
134868ca0
142dac41a
151e8c5c0
hex156d848

22468680 has 96 divisors (see below), whose sum is σ = 78656760. Its totient is φ = 5529600.

The previous prime is 22468669. The next prime is 22468703. The reversal of 22468680 is 8686422.

It can be written as a sum of positive squares in 4 ways, for example, as 14884164 + 7584516 = 3858^2 + 2754^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2280 + ... + 7080.

Almost surely, 222468680 is an apocalyptic number.

22468680 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 22468680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39328380).

22468680 is an abundant number, since it is smaller than the sum of its proper divisors (56188080).

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

22468680 is a wasteful number, since it uses less digits than its factorization.

22468680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 22468680 is about 4740.1139226816. The cubic root of 22468680 is about 282.1797556217.

The spelling of 22468680 in words is "twenty-two million, four hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 4801 9602 14403 19204 24005 28806 38408 43209 48010 57612 62413 72015 86418 96020 115224 124826 144030 172836 187239 192040 216045 249652 288060 312065 345672 374478 432090 499304 561717 576120 624130 748956 864180 936195 1123434 1248260 1497912 1728360 1872390 2246868 2496520 2808585 3744780 4493736 5617170 7489560 11234340 22468680