225302337 has 32 divisors (see below), whose sum is σ = 361155200. Its totient is φ = 137992896.

The previous prime is 225302333. The next prime is 225302351. The reversal of 225302337 is 733203522.

225302337 is a `hidden beast` number, since 2 + 25 + 302 + 337 = 666.

It is not a de Polignac number, because 225302337 - 2² = 225302333 is a prime.

It is a super-2 number, since 2×225302337² = 101522286115323138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 225302337.

It is not an unprimeable number, because it can be changed into a prime (225302333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78978 + ... + 81780.

It is an arithmetic number, because the mean of its divisors is an integer number (11286100).

Almost surely, 2^225302337 is an apocalyptic number.

225302337 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

225302337 is a deficient number, since it is larger than the sum of its proper divisors (135852863).

225302337 is a wasteful number, since it uses less digits than its factorization.

225302337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 225302337 is about 15010.0745168037. The cubic root of 225302337 is about 608.4925035092.

Adding to 225302337 its reverse (733203522), we get a palindrome (958505859).

The spelling of 225302337 in words is "two hundred twenty-five million, three hundred two thousand, three hundred thirty-seven".