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22143703680 = 2732572671171
BaseRepresentation
bin10100100111110111…
…100001101010000000
32010011020021200212100
4110213313201222000
5330322242004210
614101144230400
71412512242600
oct244767415200
963136250770
1022143703680
1194335a835a
12435ba6b400
13211b858057
141100caac00
158990675c0
hex527de1a80

22143703680 has 576 divisors, whose sum is σ = 90353746080. Its totient is φ = 4981616640.

The previous prime is 22143703633. The next prime is 22143703727. The reversal of 22143703680 is 8630734122.

It is a happy number.

22143703680 is a `hidden beast` number, since 221 + 4 + 3 + 70 + 368 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22143703633) and next prime (22143703727).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×221437036802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18909495 + ... + 18910665.

Almost surely, 222143703680 is an apocalyptic number.

22143703680 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 22143703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45176873040).

22143703680 is an abundant number, since it is smaller than the sum of its proper divisors (68210042400).

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

22143703680 is a wasteful number, since it uses less digits than its factorization.

22143703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 22143703680 in words is "twenty-two billion, one hundred forty-three million, seven hundred three thousand, six hundred eighty".