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22463664520 = 23511210145953
BaseRepresentation
bin10100111010111100…
…000101000110001000
32010222112100101121211
4110322330011012020
5332001144231040
614153014142504
71423445666203
oct247274050610
963875311554
1022463664520
119588175700
12442b051a34
13216cc244ab
14113159893a
158b71ba8ea
hex53af05188

22463664520 has 96 divisors (see below), whose sum is σ = 56107076760. Its totient is φ = 8087552000.

The previous prime is 22463664491. The next prime is 22463664547. The reversal of 22463664520 is 2546636422.

It can be written as a sum of positive squares in 4 ways, for example, as 20758470084 + 1705194436 = 144078^2 + 41294^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465864 + ... + 511816.

Almost surely, 222463664520 is an apocalyptic number.

22463664520 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 22463664520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28053538380).

22463664520 is an abundant number, since it is smaller than the sum of its proper divisors (33643412240).

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

22463664520 is a wasteful number, since it uses less digits than its factorization.

22463664520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46087 (or 46072 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 22463664520 in words is "twenty-two billion, four hundred sixty-three million, six hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 121 202 220 242 404 440 484 505 605 808 968 1010 1111 1210 2020 2222 2420 4040 4444 4840 5555 8888 11110 12221 22220 24442 44440 45953 48884 61105 91906 97768 122210 183812 229765 244420 367624 459530 488840 505483 919060 1010966 1838120 2021932 2527415 4043864 4641253 5054830 5560313 9282506 10109660 11120626 18565012 20219320 22241252 23206265 27801565 37130024 44482504 46412530 51053783 55603130 92825060 102107566 111206260 185650120 204215132 222412520 255268915 408430264 510537830 561591613 1021075660 1123183226 2042151320 2246366452 2807958065 4492732904 5615916130 11231832260 22463664520