225335136 has 288 divisors, whose sum is σ = 730477440. Its totient is φ = 60383232.

The previous prime is 225335107. The next prime is 225335177. The reversal of 225335136 is 631533522.

It is a super-2 number, since 2×225335136² = 101551847032276992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5240331 + ... + 5240373.

It is an arithmetic number, because the mean of its divisors is an integer number (2536380).

Almost surely, 2^225335136 is an apocalyptic number.

225335136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225335136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365238720).

225335136 is an abundant number, since it is smaller than the sum of its proper divisors (505142304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225335136 is a wasteful number, since it uses less digits than its factorization.

225335136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

The product of its digits is 16200, while the sum is 30.

The square root of 225335136 is about 15011.1670432382. The cubic root of 225335136 is about 608.5220297264.

Adding to 225335136 its reverse (631533522), we get a palindrome (856868658).

The spelling of 225335136 in words is "two hundred twenty-five million, three hundred thirty-five thousand, one hundred thirty-six".