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20774898225 = 345232032
BaseRepresentation
bin10011010110010001…
…111100101000110001
31222121211122011210000
4103112101330220301
5320021333220400
613313250100213
71333551502254
oct232621745061
958554564700
1020774898225
1188a0985584
12403957a669
131c610ac1b3
14101119909b
15818cd5600
hex4d647ca31

20774898225 has 45 divisors (see below), whose sum is σ = 38494311163. Its totient is φ = 11076486480.

The previous prime is 20774898191. The next prime is 20774898251. The reversal of 20774898225 is 52289847702.

The square root of 20774898225 is 144135.

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

It can be written as a sum of positive squares in only one way, i.e., 7478963361 + 13295934864 = 86481^2 + 115308^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 20774898225 - 215 = 20774865457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6484474 + ... + 6487676.

Almost surely, 220774898225 is an apocalyptic number.

20774898225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20774898225 is the 144135-th square number.

20774898225 is the 72068-th centered octagonal number.

It is an amenable number.

20774898225 is a deficient number, since it is larger than the sum of its proper divisors (17719412938).

20774898225 is an frugal number, since it uses more digits than its factorization.

20774898225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 20774898225 in words is "twenty billion, seven hundred seventy-four million, eight hundred ninety-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 3203 9609 16015 28827 48045 80075 86481 144135 240225 259443 432405 720675 1297215 2162025 6486075 10259209 30777627 51296045 92332881 153888135 256480225 276998643 461664405 769440675 830995929 1384993215 2308322025 4154979645 6924966075 20774898225