224927820 has 144 divisors (see below), whose sum is σ = 757837920. Its totient is φ = 55057536.

The previous prime is 224927753. The next prime is 224927821. The reversal of 224927820 is 28729422.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (224927821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1256491 + ... + 1256669.

Almost surely, 2^224927820 is an apocalyptic number.

224927820 is a gapful number since it is divisible by the number (20) 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 224927820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378918960).

224927820 is an abundant number, since it is smaller than the sum of its proper divisors (532910100).

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

224927820 is a wasteful number, since it uses less digits than its factorization.

224927820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 224927820 is about 14997.5938070078. The cubic root of 224927820 is about 608.1551535879.

The spelling of 224927820 in words is "two hundred twenty-four million, nine hundred twenty-seven thousand, eight hundred twenty".