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22820136640 = 265731210601
BaseRepresentation
bin10101010000001011…
…111010011011000000
32011220101010001102221
4111100023322123000
5333213423333030
614252230420424
71435334650420
oct252013723300
964811101387
1022820136640
119750410464
12450a501714
1321c8a35542
141166a6c480
158d8631e7a
hex5502fa6c0

22820136640 has 168 divisors, whose sum is σ = 64177383456. Its totient is φ = 7570944000.

The previous prime is 22820136611. The next prime is 22820136649. The reversal of 22820136640 is 4663102822.

It is a junction number, because it is equal to n+sod(n) for n = 22820136596 and 22820136605.

It is not an unprimeable number, because it can be changed into a prime (22820136649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2147340 + ... + 2157940.

Almost surely, 222820136640 is an apocalyptic number.

22820136640 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 22820136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32088691728).

22820136640 is an abundant number, since it is smaller than the sum of its proper divisors (41357246816).

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

22820136640 is a wasteful number, since it uses less digits than its factorization.

22820136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10687 (or 10646 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 22820136640 in words is "twenty-two billion, eight hundred twenty million, one hundred thirty-six thousand, six hundred forty".