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336172225 = 521921932
BaseRepresentation
bin10100000010011…
…001010011000001
3212102120022121011
4110002121103001
51142030002400
653205200521
711221262644
oct2402312301
9772508534
10336172225
11162840194
1294700141
135485429c
143290ba5b
151e7a68ba
hex140994c1

336172225 has 27 divisors (see below), whose sum is σ = 442239273. Its totient is φ = 253463040.

The previous prime is 336172223. The next prime is 336172231. The reversal of 336172225 is 522271633.

The square root of 336172225 is 18335.

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 54066609 + 282105616 = 7353^2 + 16796^2 .

It is not a de Polignac number, because 336172225 - 21 = 336172223 is a prime.

It is a super-3 number, since 3×3361722253 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (336172223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1741729 + ... + 1741921.

Almost surely, 2336172225 is an apocalyptic number.

336172225 is the 18335-th square number.

336172225 is the 9168-th centered octagonal number.

It is an amenable number.

336172225 is a deficient number, since it is larger than the sum of its proper divisors (106067048).

336172225 is an equidigital number, since it uses as much as digits as its factorization.

336172225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its digits is 15120, while the sum is 31.

The cubic root of 336172225 is about 695.3240901742.

The spelling of 336172225 in words is "three hundred thirty-six million, one hundred seventy-two thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 193 361 475 965 1805 3667 4825 9025 18335 37249 69673 91675 186245 348365 707731 931225 1741825 3538655 13446889 17693275 67234445 336172225