225532736 has 112 divisors (see below), whose sum is σ = 553882560. Its totient is φ = 89579520.

The previous prime is 225532691. The next prime is 225532753. The reversal of 225532736 is 637235522.

It is a junction number, because it is equal to n+sod(n) for n = 225532696 and 225532705.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 173240 + ... + 174536.

It is an arithmetic number, because the mean of its divisors is an integer number (4945380).

Almost surely, 2^225532736 is an apocalyptic number.

225532736 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 225532736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276941280).

225532736 is an abundant number, since it is smaller than the sum of its proper divisors (328349824).

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

225532736 is a wasteful number, since it uses less digits than its factorization.

225532736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1342 counting only the distinct ones).

The product of its digits is 75600, while the sum is 35.

The square root of 225532736 is about 15017.7473676980. The cubic root of 225532736 is about 608.6998520053.

The spelling of 225532736 in words is "two hundred twenty-five million, five hundred thirty-two thousand, seven hundred thirty-six".