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22013810520 = 233513311014507
BaseRepresentation
bin10100100000001000…
…000001011101011000
32002211011212102221120
4110200020001131120
5330041013414040
614040224205240
71406344205412
oct244010013530
962734772846
1022013810520
119377249739
124324469820
1320ca9790b0
1410cb9379b2
1588c95a7d0
hex520201758

22013810520 has 256 divisors, whose sum is σ = 74159124480. Its totient is φ = 5190912000.

The previous prime is 22013810503. The next prime is 22013810521. The reversal of 22013810520 is 2501831022.

It is a super-2 number, since 2×220138105202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013810521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4882107 + ... + 4886613.

It is an arithmetic number, because the mean of its divisors is an integer number (289684080).

Almost surely, 222013810520 is an apocalyptic number.

22013810520 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 22013810520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37079562240).

22013810520 is an abundant number, since it is smaller than the sum of its proper divisors (52145313960).

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

22013810520 is a wasteful number, since it uses less digits than its factorization.

22013810520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 22013810520 in words is "twenty-two billion, thirteen million, eight hundred ten thousand, five hundred twenty".