223152000344 has 192 divisors, whose sum is σ = 542919363840. Its totient is φ = 85140357120.

The previous prime is 223152000343. The next prime is 223152000349. The reversal of 223152000344 is 443000251322.

It is a super-3 number, since 3×223152000344³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 223152000344 = 2166³ + 5972³ = 3308³ + 5718³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223152000343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49444232 + ... + 49448744.

It is an arithmetic number, because the mean of its divisors is an integer number (2827705020).

Almost surely, 2^223152000344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223152000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271459681920).

223152000344 is an abundant number, since it is smaller than the sum of its proper divisors (319767363496).

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

223152000344 is a wasteful number, since it uses less digits than its factorization.

223152000344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 223152000344 its reverse (443000251322), we get a palindrome (666152251666).

The spelling of 223152000344 in words is "two hundred twenty-three billion, one hundred fifty-two million, three hundred forty-four", and thus it is an aban number.