223233103140400 has 240 divisors, whose sum is σ = 567646741095840. Its totient is φ = 84129059635200.

The previous prime is 223233103140247. The next prime is 223233103140407. The reversal of 223233103140400 is 4041301332322.

It is a happy number.

It is a super-3 number, since 3×223233103140400³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223233103140407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5076572814 + ... + 5076616786.

It is an arithmetic number, because the mean of its divisors is an integer number (2365194754566).

Almost surely, 2^{223233103140400} is an apocalyptic number.

223233103140400 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 223233103140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283823370547920).

223233103140400 is an abundant number, since it is smaller than the sum of its proper divisors (344413637955440).

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

223233103140400 is a wasteful number, since it uses less digits than its factorization.

223233103140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47664 (or 47653 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 223233103140400 its reverse (4041301332322), we get a palindrome (227274404472722).

The spelling of 223233103140400 in words is "two hundred twenty-three trillion, two hundred thirty-three billion, one hundred three million, one hundred forty thousand, four hundred".