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20432228580 = 22325113512381
BaseRepresentation
bin10011000001110110…
…110001000011100100
31221201221211202101200
4103001312301003210
5313321122303310
613215245322500
71322221035351
oct230166610344
957657752350
1020432228580
118735507825
123b62866430
131c080c16aa
14dbb879628
157e8b989c0
hex4c1db10e4

20432228580 has 36 divisors (see below), whose sum is σ = 61977760572. Its totient is φ = 5448594240.

The previous prime is 20432228567. The next prime is 20432228611. The reversal of 20432228580 is 8582223402.

20432228580 is a `hidden beast` number, since 20 + 4 + 32 + 2 + 28 + 580 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12606349284 + 7825879296 = 112278^2 + 88464^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56756011 + ... + 56756370.

Almost surely, 220432228580 is an apocalyptic number.

20432228580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20432228580 is an abundant number, since it is smaller than the sum of its proper divisors (41545531992).

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

20432228580 is a wasteful number, since it uses less digits than its factorization.

20432228580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113512396 (or 113512391 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 20432228580 in words is "twenty billion, four hundred thirty-two million, two hundred twenty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 113512381 227024762 340537143 454049524 567561905 681074286 1021611429 1135123810 1362148572 1702685715 2043222858 2270247620 3405371430 4086445716 5108057145 6810742860 10216114290 20432228580