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20225431688 = 23721126532
BaseRepresentation
bin10010110101100001…
…111001100010001000
31221012112201101101112
4102311201321202020
5312410202303223
613142541105452
71314130222100
oct226541714210
957175641345
1020225431688
118639802200
123b05558288
131ba42c7777
14d9c208200
157d594a778
hex4b5879888

20225431688 has 108 divisors (see below), whose sum is σ = 48563469045. Its totient is φ = 7867970880.

The previous prime is 20225431679. The next prime is 20225431697. The reversal of 20225431688 is 88613452202.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (20225431679) and next prime (20225431697).

It can be written as a sum of positive squares in 2 ways, for example, as 18659013604 + 1566418084 = 136598^2 + 39578^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=100562.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30972770 + ... + 30973422.

Almost surely, 220225431688 is an apocalyptic number.

20225431688 is a gapful number since it is divisible by the number (28) 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 20225431688

20225431688 is an abundant number, since it is smaller than the sum of its proper divisors (28338037357).

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

20225431688 is an equidigital number, since it uses as much as digits as its factorization.

20225431688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 20225431688 in words is "twenty billion, two hundred twenty-five million, four hundred thirty-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 653 847 968 1078 1306 1694 2156 2612 3388 4312 4571 5224 5929 6776 7183 9142 11858 14366 18284 23716 28732 31997 36568 47432 50281 57464 63994 79013 100562 127988 158026 201124 255976 316052 351967 402248 426409 553091 632104 703934 852818 1106182 1407868 1705636 2212364 2815736 2984863 3411272 3871637 4424728 4690499 5969726 7743274 9380998 11939452 15486548 18761996 20894041 23878904 30973096 32833493 37523992 41788082 51595489 65666986 83576164 103190978 131333972 167152328 206381956 229834451 262667944 361168423 412763912 459668902 722336846 919337804 1444673692 1838675608 2528178961 2889347384 5056357922 10112715844 20225431688