224700100 has 27 divisors (see below), whose sum is σ = 487924717. Its totient is φ = 89820080.

The previous prime is 224700083. The next prime is 224700103. The reversal of 224700100 is 1007422.

The square root of 224700100 is 14990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80892036 + 143808064 = 8994^2 + 11992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224700103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 149151 + ... + 150649.

Almost surely, 2^224700100 is an apocalyptic number.

224700100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

224700100 is the 14990-th square number.

It is an amenable number.

224700100 is an abundant number, since it is smaller than the sum of its proper divisors (263224617).

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

224700100 is an equidigital number, since it uses as much as digits as its factorization.

224700100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The cubic root of 224700100 is about 607.9498494242.

Multiplying 224700100 by its sum of digits (16), we get a square (3595201600 = 59960²).

Adding to 224700100 its reverse (1007422), we get a palindrome (225707522).

The spelling of 224700100 in words is "two hundred twenty-four million, seven hundred thousand, one hundred".