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415242225 = 32521845521
BaseRepresentation
bin11000110000000…
…001011111110001
31001221100111020200
4120300001133301
51322300222400
6105112025413
713201333506
oct3060013761
91057314220
10415242225
111a34366a2
12b7092269
136804a278
143d2114ad
15266c4b00
hex18c017f1

415242225 has 18 divisors (see below), whose sum is σ = 743745366. Its totient is φ = 221462400.

The previous prime is 415242203. The next prime is 415242239. The reversal of 415242225 is 522242514.

415242225 is a `hidden beast` number, since 415 + 24 + 2 + 225 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1648656 + 413593569 = 1284^2 + 20337^2 .

It is a de Polignac number, because none of the positive numbers 2k-415242225 is a prime.

It is a super-2 number, since 2×4152422252 = 344852210845901250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 922536 + ... + 922985.

It is an arithmetic number, because the mean of its divisors is an integer number (41319187).

Almost surely, 2415242225 is an apocalyptic number.

415242225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

415242225 is a deficient number, since it is larger than the sum of its proper divisors (328503141).

415242225 is a wasteful number, since it uses less digits than its factorization.

415242225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845537 (or 1845529 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 415242225 is about 20377.4930990051. The cubic root of 415242225 is about 746.0486860486.

Adding to 415242225 its reverse (522242514), we get a palindrome (937484739).

The spelling of 415242225 in words is "four hundred fifteen million, two hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1845521 5536563 9227605 16609689 27682815 46138025 83048445 138414075 415242225