225218784 has 96 divisors (see below), whose sum is σ = 678053376. Its totient is φ = 64120320.

The previous prime is 225218767. The next prime is 225218801. The reversal of 225218784 is 487812522.

It is an interprime number because it is at equal distance from previous prime (225218767) and next prime (225218801).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309429 + ... + 310155.

It is an arithmetic number, because the mean of its divisors is an integer number (7063056).

Almost surely, 2^225218784 is an apocalyptic number.

225218784 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 225218784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339026688).

225218784 is an abundant number, since it is smaller than the sum of its proper divisors (452834592).

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

225218784 is a wasteful number, since it uses less digits than its factorization.

225218784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1200 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 225218784 is about 15007.2910280303. The cubic root of 225218784 is about 608.4172747285.

The spelling of 225218784 in words is "two hundred twenty-five million, two hundred eighteen thousand, seven hundred eighty-four".