224010400 has 36 divisors (see below), whose sum is σ = 546867342. Its totient is φ = 89603840.

The previous prime is 224010379. The next prime is 224010401. The reversal of 224010400 is 4010422.

It can be written as a sum of positive squares in 3 ways, for example, as 155650576 + 68359824 = 12476^2 + 8268^2 .

It is not an unprimeable number, because it can be changed into a prime (224010401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139207 + ... + 140806.

Almost surely, 2^224010400 is an apocalyptic number.

224010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224010400 is an abundant number, since it is smaller than the sum of its proper divisors (322856942).

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

224010400 is a wasteful number, since it uses less digits than its factorization.

224010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280033 (or 280020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 224010400 is about 14966.9769826776. The cubic root of 224010400 is about 607.3271931955.

Adding to 224010400 its reverse (4010422), we get a palindrome (228020822).

The spelling of 224010400 in words is "two hundred twenty-four million, ten thousand, four hundred".