224002820 has 24 divisors (see below), whose sum is σ = 470799000. Its totient is φ = 89526272.

The previous prime is 224002817. The next prime is 224002843. The reversal of 224002820 is 28200422.

It can be written as a sum of positive squares in 4 ways, for example, as 141376 + 223861444 = 376^2 + 14962^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224002792 and 224002801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24206 + ... + 32154.

It is an arithmetic number, because the mean of its divisors is an integer number (19616625).

Almost surely, 2^224002820 is an apocalyptic number.

224002820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224002820 is an abundant number, since it is smaller than the sum of its proper divisors (246796180).

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

224002820 is a wasteful number, since it uses less digits than its factorization.

224002820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9367 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 224002820 is about 14966.7237563870. The cubic root of 224002820 is about 607.3203429302.

The spelling of 224002820 in words is "two hundred twenty-four million, two thousand, eight hundred twenty".