223132515100000 has 288 divisors, whose sum is σ = 625039789393152. Its totient is φ = 77611300800000.

The previous prime is 223132515099979. The next prime is 223132515100007. The reversal of 223132515100000 is 1515231322.

It is a super-3 number, since 3×223132515100000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223132515100007) 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, 20890267 + ... + 29709733.

It is an arithmetic number, because the mean of its divisors is an integer number (2170277046504).

Almost surely, 2^{223132515100000} is an apocalyptic number.

223132515100000 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 223132515100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312519894696576).

223132515100000 is an abundant number, since it is smaller than the sum of its proper divisors (401907274293152).

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

223132515100000 is an equidigital number, since it uses as much as digits as its factorization.

223132515100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8819536 (or 8819508 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 223132515100000 in words is "two hundred twenty-three trillion, one hundred thirty-two billion, five hundred fifteen million, one hundred thousand".