225515136 has 256 divisors, whose sum is σ = 775526400. Its totient is φ = 56340480.

The previous prime is 225515113. The next prime is 225515137. The reversal of 225515136 is 631515522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225515137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857341 + ... + 857603.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2^225515136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225515136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387763200).

225515136 is an abundant number, since it is smaller than the sum of its proper divisors (550011264).

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

225515136 is a wasteful number, since it uses less digits than its factorization.

225515136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 225515136 is about 15017.1613828979. The cubic root of 225515136 is about 608.6840177983.

It can be divided in two parts, 2255 and 15136, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 225515136 in words is "two hundred twenty-five million, five hundred fifteen thousand, one hundred thirty-six".