223413462900 has 720 divisors, whose sum is σ = 777778552320. Its totient is φ = 55371340800.

The previous prime is 223413462887. The next prime is 223413462959. The reversal of 223413462900 is 9264314322.

223413462900 is a `hidden beast` number, since 2 + 23 + 4 + 1 + 3 + 4 + 629 + 0 + 0 = 666.

223413462900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1291407214 + ... + 1291407386.

Almost surely, 2^223413462900 is an apocalyptic number.

223413462900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223413462900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388889276160).

223413462900 is an abundant number, since it is smaller than the sum of its proper divisors (554365089420).

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

223413462900 is a wasteful number, since it uses less digits than its factorization.

223413462900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 223413462900 in words is "two hundred twenty-three billion, four hundred thirteen million, four hundred sixty-two thousand, nine hundred".