225683424 has 72 divisors (see below), whose sum is σ = 659163960. Its totient is φ = 73191168.

The previous prime is 225683417. The next prime is 225683431. The reversal of 225683424 is 424386522.

225683424 is a `hidden beast` number, since 225 + 6 + 8 + 3 + 424 = 666.

225683424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225683417) and next prime (225683431).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67 + ... + 21245.

It is an arithmetic number, because the mean of its divisors is an integer number (9155055).

Almost surely, 2^225683424 is an apocalyptic number.

225683424 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 225683424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329581980).

225683424 is an abundant number, since it is smaller than the sum of its proper divisors (433480536).

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

225683424 is a wasteful number, since it uses less digits than its factorization.

225683424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21232 (or 21221 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 225683424 is about 15022.7635273940. The cubic root of 225683424 is about 608.8353878989.

The spelling of 225683424 in words is "two hundred twenty-five million, six hundred eighty-three thousand, four hundred twenty-four".