223242221440400 has 120 divisors (see below), whose sum is σ = 538979992239360. Its totient is φ = 88857604062720.

The previous prime is 223242221440387. The next prime is 223242221440429. The reversal of 223242221440400 is 4044122242322.

It is a super-3 number, since 3×223242221440400³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203989871 + ... + 205081329.

It is an arithmetic number, because the mean of its divisors is an integer number (4491499935328).

Almost surely, 2^{223242221440400} is an apocalyptic number.

223242221440400 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 223242221440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269489996119680).

223242221440400 is an abundant number, since it is smaller than the sum of its proper divisors (315737770798960).

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

223242221440400 is a wasteful number, since it uses less digits than its factorization.

223242221440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093993 (or 1093982 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 223242221440400 its reverse (4044122242322), we get a palindrome (227286343682722).

The spelling of 223242221440400 in words is "two hundred twenty-three trillion, two hundred forty-two billion, two hundred twenty-one million, four hundred forty thousand, four hundred".