224765664 has 24 divisors (see below), whose sum is σ = 590010120. Its totient is φ = 74921856.

The previous prime is 224765659. The next prime is 224765669. The reversal of 224765664 is 466567422.

224765664 is digitally balanced in base 2, 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 (224765659) and next prime (224765669).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224765669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1170559 + ... + 1170750.

It is an arithmetic number, because the mean of its divisors is an integer number (24583755).

Almost surely, 2^224765664 is an apocalyptic number.

224765664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224765664 is an abundant number, since it is smaller than the sum of its proper divisors (365244456).

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

224765664 is a wasteful number, since it uses less digits than its factorization.

224765664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341322 (or 2341314 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 224765664 is about 14992.1867651120. The cubic root of 224765664 is about 608.0089737826.

The spelling of 224765664 in words is "two hundred twenty-four million, seven hundred sixty-five thousand, six hundred sixty-four".