223233424030400 has 672 divisors, whose sum is σ = 668102787256320. Its totient is φ = 71754468065280.

The previous prime is 223233424030381. The next prime is 223233424030411. The reversal of 223233424030400 is 4030424332322.

It is a happy number.

It is a super-3 number, since 3×223233424030400³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 95 ways as a sum of consecutive naturals, for example, 14185251332 + ... + 14185267068.

Almost surely, 2^{223233424030400} is an apocalyptic number.

223233424030400 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 223233424030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334051393628160).

223233424030400 is an abundant number, since it is smaller than the sum of its proper divisors (444869363225920).

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

223233424030400 is a wasteful number, since it uses less digits than its factorization.

223233424030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16881 (or 16866 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 223233424030400 its reverse (4030424332322), we get a palindrome (227263848362722).

The spelling of 223233424030400 in words is "two hundred twenty-three trillion, two hundred thirty-three billion, four hundred twenty-four million, thirty thousand, four hundred".