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22806682240 = 275231549367
BaseRepresentation
bin10101001111011000…
…100101101010000000
32011212102210111110211
4111033120211222000
5333202002312430
614251030203504
71435112412646
oct251730455200
964772714424
1022806682240
119743860a21
124505ab3594
1321c6004564
141164d69196
158d737572a
hex54f625a80

22806682240 has 64 divisors (see below), whose sum is σ = 56892792960. Its totient is φ = 8726029312.

The previous prime is 22806682219. The next prime is 22806682279. The reversal of 22806682240 is 4228660822.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 22806682193 and 22806682202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759964 + ... + 789403.

It is an arithmetic number, because the mean of its divisors is an integer number (888949890).

Almost surely, 222806682240 is an apocalyptic number.

22806682240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22806682240 is an abundant number, since it is smaller than the sum of its proper divisors (34086110720).

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

22806682240 is a wasteful number, since it uses less digits than its factorization.

22806682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549409 (or 1549397 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 22806682240 in words is "twenty-two billion, eight hundred six million, six hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 1549367 3098734 6197468 7746835 12394936 15493670 24789872 30987340 35635441 49579744 61974680 71270882 99159488 123949360 142541764 178177205 198318976 247898720 285083528 356354410 495797440 570167056 712708820 991594880 1140334112 1425417640 2280668224 2850835280 4561336448 5701670560 11403341120 22806682240