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22387680820 = 22543148917483
BaseRepresentation
bin10100110110011010…
…001110011000110100
32010210020101000120201
4110312122032120310
5331322221241240
614141301410244
71421534101321
oct246632163064
963706330521
1022387680820
119549297a5a
124409709984
13215a26c21b
141125459b48
158b06abd9a
hex53668e634

22387680820 has 48 divisors (see below), whose sum is σ = 48142543680. Its totient is φ = 8740440576.

The previous prime is 22387680793. The next prime is 22387680859. The reversal of 22387680820 is 2808678322.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1271799 + ... + 1289281.

It is an arithmetic number, because the mean of its divisors is an integer number (1002969660).

Almost surely, 222387680820 is an apocalyptic number.

22387680820 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 22387680820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24071271840).

22387680820 is an abundant number, since it is smaller than the sum of its proper divisors (25754862860).

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

22387680820 is a wasteful number, since it uses less digits than its factorization.

22387680820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19024 (or 19022 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 22387680820 in words is "twenty-two billion, three hundred eighty-seven million, six hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1489 2978 5956 7445 14890 17483 29780 34966 64027 69932 87415 128054 174830 256108 320135 349660 640270 751769 1280540 1503538 3007076 3758845 7517690 15035380 26032187 52064374 104128748 130160935 260321870 520643740 1119384041 2238768082 4477536164 5596920205 11193840410 22387680820