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31476082225 = 52723721372
BaseRepresentation
bin11101010100000111…
…101110011000110001
310000020121210122112011
4131110013232120301
51003430334112400
622243201402521
72163002166400
oct352407563061
9100217718464
1031476082225
11123924784a5
126125339441
132c78131933
1417484c3637
15c434eb8ba
hex7541ee631

31476082225 has 81 divisors (see below), whose sum is σ = 47005997283. Its totient is φ = 20846972160.

The previous prime is 31476082207. The next prime is 31476082241. The reversal of 31476082225 is 52228067413.

The square root of 31476082225 is 177415.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4425043441 + 27051038784 = 66521^2 + 164472^2 .

It is not a de Polignac number, because 31476082225 - 213 = 31476074033 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 229752357 + ... + 229752493.

Almost surely, 231476082225 is an apocalyptic number.

31476082225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31476082225 is the 177415-th square number.

31476082225 is the 88708-th centered octagonal number.

It is an amenable number.

31476082225 is a deficient number, since it is larger than the sum of its proper divisors (15529915058).

31476082225 is an equidigital number, since it uses as much as digits as its factorization.

31476082225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 31476082225 in words is "thirty-one billion, four hundred seventy-six million, eighty-two thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 37 49 137 175 185 245 259 685 925 959 1225 1295 1369 1813 3425 4795 5069 6475 6713 6845 9065 9583 18769 23975 25345 33565 34225 35483 45325 47915 67081 93845 126725 131383 167825 177415 187553 239575 248381 335405 469225 656915 694453 887075 919681 937765 1241905 1312871 1677025 3284575 3472265 4598405 4688825 4861171 6209525 6564355 9190097 17361325 22992025 24305855 25694761 32821775 34028197 45950485 121529275 128473805 170140985 179863327 229752425 642369025 850704925 899316635 1259043289 4496583175 6295216445 31476082225