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20444088225 = 35211173739397
BaseRepresentation
bin10011000010100100…
…000000011110100001
31221202210011021202210
4103002210000132201
5313332141310400
613220351432333
71322423611521
oct230244003641
957683137683
1020444088225
118741178090
123b668256a9
131c0a6b4832
14dbd285681
157e9c3c950
hex4c29007a1

20444088225 has 96 divisors (see below), whose sum is σ = 40098969216. Its totient is φ = 9076838400.

The previous prime is 20444088221. The next prime is 20444088229. The reversal of 20444088225 is 52288044402.

It is an interprime number because it is at equal distance from previous prime (20444088221) and next prime (20444088229).

It is not a de Polignac number, because 20444088225 - 22 = 20444088221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20444088221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 499227 + ... + 538623.

It is an arithmetic number, because the mean of its divisors is an integer number (417697596).

Almost surely, 220444088225 is an apocalyptic number.

20444088225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20444088225 is a deficient number, since it is larger than the sum of its proper divisors (19654880991).

20444088225 is a wasteful number, since it uses less digits than its factorization.

20444088225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39475 (or 39470 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 39.

The spelling of 20444088225 in words is "twenty billion, four hundred forty-four million, eighty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 17 25 33 37 51 55 75 85 111 165 185 187 255 275 407 425 555 561 629 825 925 935 1221 1275 1887 2035 2775 2805 3145 4675 6105 6919 9435 10175 14025 15725 20757 30525 34595 39397 47175 103785 118191 172975 196985 433367 518925 590955 669749 984925 1300101 1457689 2009247 2166835 2954775 3348745 4373067 6500505 7288445 7367239 10046235 10834175 16034579 16743725 21865335 22101717 24780713 32502525 36442225 36836195 48103737 50231175 74342139 80172895 109326675 110508585 123903565 184180975 240518685 272587843 371710695 400864475 552542925 619517825 817763529 1202593425 1362939215 1858553475 4088817645 6814696075 20444088225