224988948900 has 243 divisors, whose sum is σ = 716958930051. Its totient is φ = 59014241280.

The previous prime is 224988948887. The next prime is 224988948907. The reversal of 224988948900 is 9849889422.

The square root of 224988948900 is 474330.

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

224988948900 is a `hidden beast` number, since 22 + 498 + 89 + 48 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8272630116 + 216716318784 = 90954^2 + 465528^2 .

It is a super-2 number, since 2×224988948900² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224988948907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1380300219 + ... + 1380300381.

Almost surely, 2^224988948900 is an apocalyptic number.

224988948900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

224988948900 is the 474330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224988948900

224988948900 is an abundant number, since it is smaller than the sum of its proper divisors (491969981151).

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

224988948900 is a wasteful number, since it uses less digits than its factorization.

224988948900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 224988948900 in words is "two hundred twenty-four billion, nine hundred eighty-eight million, nine hundred forty-eight thousand, nine hundred".