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415210225 = 5261272269
BaseRepresentation
bin11000101111111…
…001101011110001
31001221021212100111
4120233321223301
51322243211400
6105111221321
713201141303
oct3057715361
91057255314
10415210225
111a3414651
12b7077841
1368038831
143d203973
15266ba3ba
hex18bf9af1

415210225 has 12 divisors (see below), whose sum is σ = 523302940. Its totient is φ = 326721600.

The previous prime is 415210217. The next prime is 415210241. The reversal of 415210225 is 522012514.

It can be written as a sum of positive squares in 6 ways, for example, as 208051776 + 207158449 = 14424^2 + 14393^2 .

It is not a de Polignac number, because 415210225 - 23 = 415210217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 415210196 and 415210205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134610 + ... + 137659.

Almost surely, 2415210225 is an apocalyptic number.

It is an amenable number.

415210225 is a deficient number, since it is larger than the sum of its proper divisors (108092715).

415210225 is a wasteful number, since it uses less digits than its factorization.

415210225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272340 (or 272335 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 415210225 is about 20376.7079038789. The cubic root of 415210225 is about 746.0295211935.

Adding to 415210225 its reverse (522012514), we get a palindrome (937222739).

The spelling of 415210225 in words is "four hundred fifteen million, two hundred ten thousand, two hundred twenty-five".

Divisors: 1 5 25 61 305 1525 272269 1361345 6806725 16608409 83042045 415210225