223125521322 has 256 divisors, whose sum is σ = 541776936960. Its totient is φ = 60473932800.

The previous prime is 223125521263. The next prime is 223125521533.

It is a happy number.

223125521322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×223125521322³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223125521322.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 621519379 + ... + 621519737.

It is an arithmetic number, because the mean of its divisors is an integer number (2116316160).

Almost surely, 2^223125521322 is an apocalyptic number.

223125521322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 223125521322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270888468480).

223125521322 is an abundant number, since it is smaller than the sum of its proper divisors (318651415638).

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

223125521322 is a wasteful number, since it uses less digits than its factorization.

223125521322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697.

The product of its digits is 14400, while the sum is 30.

It can be divided in two parts, 223125 and 521322, that added together give a palindrome (744447).

The spelling of 223125521322 in words is "two hundred twenty-three billion, one hundred twenty-five million, five hundred twenty-one thousand, three hundred twenty-two".