223010432400 has 480 divisors, whose sum is σ = 826097126400. Its totient is φ = 50374195200.

The previous prime is 223010432389. The next prime is 223010432413. The reversal of 223010432400 is 4234010322.

223010432400 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 (21).

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 95 ways as a sum of consecutive naturals, for example, 454196155 + ... + 454196645.

It is an arithmetic number, because the mean of its divisors is an integer number (1721035680).

Almost surely, 2^223010432400 is an apocalyptic number.

223010432400 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 223010432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413048563200).

223010432400 is an abundant number, since it is smaller than the sum of its proper divisors (603086694000).

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

223010432400 is a wasteful number, since it uses less digits than its factorization.

223010432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 223010432400 its reverse (4234010322), we get a palindrome (227244442722).

The spelling of 223010432400 in words is "two hundred twenty-three billion, ten million, four hundred thirty-two thousand, four hundred".