225038736 has 300 divisors, whose sum is σ = 760297692. Its totient is φ = 63825408.

The previous prime is 225038719. The next prime is 225038761. The reversal of 225038736 is 637830522.

It can be written as a sum of positive squares in 2 ways, for example, as 119771136 + 105267600 = 10944^2 + 10260^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 225038736.

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 59 ways as a sum of consecutive naturals, for example, 6082110 + ... + 6082146.

Almost surely, 2^225038736 is an apocalyptic number.

225038736 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 225038736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380148846).

225038736 is an abundant number, since it is smaller than the sum of its proper divisors (535258956).

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

225038736 is a wasteful number, since it uses less digits than its factorization.

225038736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 225038736 is about 15001.2911444315. The cubic root of 225038736 is about 608.2551012844.

The spelling of 225038736 in words is "two hundred twenty-five million, thirty-eight thousand, seven hundred thirty-six".