224893872 has 180 divisors, whose sum is σ = 742209936. Its totient is φ = 62265600.

The previous prime is 224893859. The next prime is 224893873. The reversal of 224893872 is 278398422.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

Its product of digits (387072) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (224893873) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2226622 + ... + 2226722.

Almost surely, 2^224893872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224893872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371104968).

224893872 is an abundant number, since it is smaller than the sum of its proper divisors (517316064).

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

224893872 is a wasteful number, since it uses less digits than its factorization.

224893872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 160 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 224893872 is about 14996.4619827478. The cubic root of 224893872 is about 608.1245560835.

The spelling of 224893872 in words is "two hundred twenty-four million, eight hundred ninety-three thousand, eight hundred seventy-two".