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20054808225 = 365210492
BaseRepresentation
bin10010101011010111…
…000001011010100001
31220202122122211000000
4102223113001122201
5312033012330400
613114004050213
71306656025434
oct225327013241
956678584000
1020054808225
118561464281
123a78393969
131b77b5773a
14d836b181b
157c5995600
hex4ab5c16a1

20054808225 has 63 divisors (see below), whose sum is σ = 37320464233. Its totient is φ = 10685701440.

The previous prime is 20054808223. The next prime is 20054808281. The reversal of 20054808225 is 52280845002.

The square root of 20054808225 is 141615.

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 2149156881 + 17905651344 = 46359^2 + 133812^2 .

It is not a de Polignac number, because 20054808225 - 21 = 20054808223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20054808225.

It is not an unprimeable number, because it can be changed into a prime (20054808223) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 19117501 + ... + 19118549.

Almost surely, 220054808225 is an apocalyptic number.

20054808225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20054808225 is the 141615-th square number.

20054808225 is the 70808-th centered octagonal number.

It is an amenable number.

20054808225 is a deficient number, since it is larger than the sum of its proper divisors (17265656008).

20054808225 is an frugal number, since it uses more digits than its factorization.

20054808225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Multiplying 20054808225 by its sum of digits (36), we get a square (721973096100 = 8496902).

The spelling of 20054808225 in words is "twenty billion, fifty-four million, eight hundred eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1049 1215 2025 3147 3645 5245 6075 9441 15735 18225 26225 28323 47205 78675 84969 141615 236025 254907 424845 708075 764721 1100401 1274535 2124225 3301203 3823605 5502005 6372675 9903609 16506015 19118025 27510025 29710827 49518045 82530075 89132481 148554135 247590225 267397443 445662405 742770675 802192329 1336987215 2228312025 4010961645 6684936075 20054808225