223240340400 has 960 divisors, whose sum is σ = 948539289600. Its totient is φ = 43476480000.

The previous prime is 223240340383. The next prime is 223240340423. The reversal of 223240340400 is 4043042322.

223240340400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223240340400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 191 ways as a sum of consecutive naturals, for example, 177314971 + ... + 177316229.

It is an arithmetic number, because the mean of its divisors is an integer number (988061760).

Almost surely, 2^223240340400 is an apocalyptic number.

223240340400 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 223240340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474269644800).

223240340400 is an abundant number, since it is smaller than the sum of its proper divisors (725298949200).

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

223240340400 is a wasteful number, since it uses less digits than its factorization.

223240340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 223240340400 its reverse (4043042322), we get a palindrome (227283382722).

The spelling of 223240340400 in words is "two hundred twenty-three billion, two hundred forty million, three hundred forty thousand, four hundred".