224691264 has 252 divisors, whose sum is σ = 790498800. Its totient is φ = 60673536.

The previous prime is 224691251. The next prime is 224691323. The reversal of 224691264 is 462196422.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 536047 + ... + 536465.

It is an arithmetic number, because the mean of its divisors is an integer number (3136900).

Almost surely, 2^224691264 is an apocalyptic number.

224691264 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 224691264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395249400).

224691264 is an abundant number, since it is smaller than the sum of its proper divisors (565807536).

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

224691264 is a wasteful number, since it uses less digits than its factorization.

224691264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 224691264 is about 14989.7052672826. The cubic root of 224691264 is about 607.9418804094.

The spelling of 224691264 in words is "two hundred twenty-four million, six hundred ninety-one thousand, two hundred sixty-four".