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22008147840 = 273257896133
BaseRepresentation
bin10100011111110010…
…011010111110000000
32002210210012202012200
4110133302122332000
5330033041212330
614035502553200
71406245112220
oct243762327600
962723182180
1022008147840
119374031238
124322598800
1320c97457b3
1410caca2080
1588c1dca60
hex51fc9af80

22008147840 has 384 divisors, whose sum is σ = 87843787200. Its totient is φ = 4973101056.

The previous prime is 22008147809. The next prime is 22008147853. The reversal of 22008147840 is 4874180022.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 22008147795 and 22008147804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3585414 + ... + 3591546.

Almost surely, 222008147840 is an apocalyptic number.

22008147840 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 22008147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43921893600).

22008147840 is an abundant number, since it is smaller than the sum of its proper divisors (65835639360).

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

22008147840 is a wasteful number, since it uses less digits than its factorization.

22008147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 22008147840 in words is "twenty-two billion, eight million, one hundred forty-seven thousand, eight hundred forty".