225219864 has 64 divisors (see below), whose sum is σ = 600099840. Its totient is φ = 70273280.

The previous prime is 225219823. The next prime is 225219889. The reversal of 225219864 is 468912522.

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, 21604 + ... + 30284.

It is an arithmetic number, because the mean of its divisors is an integer number (9376560).

Almost surely, 2^225219864 is an apocalyptic number.

225219864 is a gapful number since it is divisible by the number (24) 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 225219864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300049920).

225219864 is an abundant number, since it is smaller than the sum of its proper divisors (374879976).

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

225219864 is a wasteful number, since it uses less digits than its factorization.

225219864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760 (or 8756 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 225219864 is about 15007.3270104972. The cubic root of 225219864 is about 608.4182472490.

It can be divided in two parts, 22521 and 9864, that added together give a triangular number (32385 = T₂₅₄).

The spelling of 225219864 in words is "two hundred twenty-five million, two hundred nineteen thousand, eight hundred sixty-four".