223132223001000 has 256 divisors, whose sum is σ = 705416729472000. Its totient is φ = 58712747059200.

The previous prime is 223132223000993. The next prime is 223132223001019. The reversal of 223132223001000 is 100322231322.

It is a happy number.

It is a super-3 number, since 3×223132223001000³ (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 63 ways as a sum of consecutive naturals, for example, 387681436 + ... + 388256564.

It is an arithmetic number, because the mean of its divisors is an integer number (2755534099500).

Almost surely, 2^{223132223001000} is an apocalyptic number.

223132223001000 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 223132223001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352708364736000).

223132223001000 is an abundant number, since it is smaller than the sum of its proper divisors (482284506471000).

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

223132223001000 is a wasteful number, since it uses less digits than its factorization.

223132223001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576869 (or 576855 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 223132223001000 its reverse (100322231322), we get a palindrome (223232545232322).

The spelling of 223132223001000 in words is "two hundred twenty-three trillion, one hundred thirty-two billion, two hundred twenty-three million, one thousand".