224890100 has 18 divisors (see below), whose sum is σ = 488011734. Its totient is φ = 89956000.

The previous prime is 224890079. The next prime is 224890109. The reversal of 224890100 is 1098422.

It can be written as a sum of positive squares in 3 ways, for example, as 729316 + 224160784 = 854^2 + 14972^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 224890100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224890109) 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, 1124351 + ... + 1124550.

It is an arithmetic number, because the mean of its divisors is an integer number (27111763).

Almost surely, 2^224890100 is an apocalyptic number.

224890100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224890100 is an abundant number, since it is smaller than the sum of its proper divisors (263121634).

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

224890100 is a wasteful number, since it uses less digits than its factorization.

224890100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248915 (or 2248908 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 224890100 is about 14996.3362192237. The cubic root of 224890100 is about 608.1211561707.

The spelling of 224890100 in words is "two hundred twenty-four million, eight hundred ninety thousand, one hundred".