224073864 has 120 divisors (see below), whose sum is σ = 730185390. Its totient is φ = 64012032.

The previous prime is 224073833. The next prime is 224073869. The reversal of 224073864 is 468370422.

It can be written as a sum of positive squares in only one way, i.e., 114704100 + 109369764 = 10710^2 + 10458^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224073869) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28224 + ... + 35280.

Almost surely, 2^224073864 is an apocalyptic number.

224073864 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 224073864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365092695).

224073864 is an abundant number, since it is smaller than the sum of its proper divisors (506111526).

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

224073864 is a wasteful number, since it uses less digits than its factorization.

224073864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7089 (or 7069 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 224073864 is about 14969.0969667512. The cubic root of 224073864 is about 607.3845413866.

The spelling of 224073864 in words is "two hundred twenty-four million, seventy-three thousand, eight hundred sixty-four".