223243400400 has 240 divisors, whose sum is σ = 748674415104. Its totient is φ = 56755607040.

The previous prime is 223243400353. The next prime is 223243400411. The reversal of 223243400400 is 4004342322.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×223243400400³ (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8460027 + ... + 8486373.

Almost surely, 2^223243400400 is an apocalyptic number.

223243400400 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 223243400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374337207552).

223243400400 is an abundant number, since it is smaller than the sum of its proper divisors (525431014704).

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

223243400400 is a wasteful number, since it uses less digits than its factorization.

223243400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26698 (or 26687 counting only the distinct ones).

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

Adding to 223243400400 its reverse (4004342322), we get a palindrome (227247742722).

The spelling of 223243400400 in words is "two hundred twenty-three billion, two hundred forty-three million, four hundred thousand, four hundred".