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20942431225 = 5210322812
BaseRepresentation
bin10011100000010001…
…000010001111111001
32000001111212201211221
4103200101002033321
5320342230244400
613342032552041
71340654504542
oct234021021771
960044781757
1020942431225
118977502601
1240856b2621
131c89a09651
1410295294c9
15828879c1a
hex4e04423f9

20942431225 has 27 divisors (see below), whose sum is σ = 26316838029. Its totient is φ = 16532241600.

The previous prime is 20942431219. The next prime is 20942431243. The reversal of 20942431225 is 52213424902.

The square root of 20942431225 is 144715.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 29800681 + 20912630544 = 5459^2 + 144612^2 .

It is a de Polignac number, because none of the positive numbers 2k-20942431225 is a prime.

It is a super-2 number, since 2×209424312252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

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, 74528085 + ... + 74528365.

Almost surely, 220942431225 is an apocalyptic number.

20942431225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20942431225 is the 144715-th square number.

20942431225 is the 72358-th centered octagonal number.

It is an amenable number.

20942431225 is a deficient number, since it is larger than the sum of its proper divisors (5374406804).

20942431225 is an frugal number, since it uses more digits than its factorization.

20942431225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 20942431225 in words is "twenty billion, nine hundred forty-two million, four hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 103 281 515 1405 2575 7025 10609 28943 53045 78961 144715 265225 394805 723575 1974025 2981129 8132983 14905645 40664915 74528225 203324575 837697249 4188486245 20942431225