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22768643720 = 2357915147717
BaseRepresentation
bin10101001101000111…
…011110111010001000
32011202210012221102202
4111031013132322020
5333112233044340
614243151015332
71434141164324
oct251507367210
964683187382
1022768643720
119724340029
1244b520a548
1321bb176764
14115dca6984
158d3d5ec15
hex54d1dee88

22768643720 has 64 divisors (see below), whose sum is σ = 52222579200. Its totient is φ = 8932435200.

The previous prime is 22768643627. The next prime is 22768643731. The reversal of 22768643720 is 2734686722.

It is a super-2 number, since 2×227686437202 (a number of 22 digits) contains 22 as substring.

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, 453302 + ... + 501018.

It is an arithmetic number, because the mean of its divisors is an integer number (815977800).

Almost surely, 222768643720 is an apocalyptic number.

22768643720 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 22768643720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26111289600).

22768643720 is an abundant number, since it is smaller than the sum of its proper divisors (29453935480).

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

22768643720 is a wasteful number, since it uses less digits than its factorization.

22768643720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47958 (or 47954 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 47.

The spelling of 22768643720 in words is "twenty-two billion, seven hundred sixty-eight million, six hundred forty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 151 158 302 316 395 604 632 755 790 1208 1510 1580 3020 3160 6040 11929 23858 47716 47717 59645 95432 95434 119290 190868 238580 238585 381736 477160 477170 954340 1908680 3769643 7205267 7539286 14410534 15078572 18848215 28821068 30157144 36026335 37696430 57642136 72052670 75392860 144105340 150785720 288210680 569216093 1138432186 2276864372 2846080465 4553728744 5692160930 11384321860 22768643720