224564032 has 56 divisors (see below), whose sum is σ = 555589440. Its totient is φ = 87490560.

The previous prime is 224564027. The next prime is 224564047. The reversal of 224564032 is 230465422.

224564032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17857 + ... + 27712.

It is an arithmetic number, because the mean of its divisors is an integer number (9921240).

Almost surely, 2^224564032 is an apocalyptic number.

224564032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

224564032 is an abundant number, since it is smaller than the sum of its proper divisors (331025408).

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

224564032 is a wasteful number, since it uses less digits than its factorization.

224564032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45599 (or 45589 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 224564032 is about 14985.4606869459. The cubic root of 224564032 is about 607.8271091979.

The spelling of 224564032 in words is "two hundred twenty-four million, five hundred sixty-four thousand, thirty-two".