224594064 has 120 divisors (see below), whose sum is σ = 651651000. Its totient is φ = 72161280.

The previous prime is 224594053. The next prime is 224594119. The reversal of 224594064 is 460495422.

224594064 is a `hidden beast` number, since 2 + 2 + 4 + 594 + 0 + 64 = 666.

224594064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24088464 + 200505600 = 4908^2 + 14160^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643362 + ... + 643710.

It is an arithmetic number, because the mean of its divisors is an integer number (5430425).

Almost surely, 2^224594064 is an apocalyptic number.

224594064 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 224594064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325825500).

224594064 is an abundant number, since it is smaller than the sum of its proper divisors (427056936).

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

224594064 is a wasteful number, since it uses less digits than its factorization.

224594064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 224594064 is about 14986.4626913758. The cubic root of 224594064 is about 607.8542038457.

The spelling of 224594064 in words is "two hundred twenty-four million, five hundred ninety-four thousand, sixty-four".