223322222001000 has 256 divisors, whose sum is σ = 697552073487360. Its totient is φ = 59485388601600.

The previous prime is 223322222000989. The next prime is 223322222001041. The reversal of 223322222001000 is 100222223322.

223322222001000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 10975672827 + ... + 10975693173.

It is an arithmetic number, because the mean of its divisors is an integer number (2724812787060).

Almost surely, 2^{223322222001000} is an apocalyptic number.

223322222001000 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 223322222001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348776036743680).

223322222001000 is an abundant number, since it is smaller than the sum of its proper divisors (474229851486360).

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

223322222001000 is a wasteful number, since it uses less digits than its factorization.

223322222001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24321 (or 24307 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 223322222001000 its reverse (100222223322), we get a palindrome (223422444224322).

The spelling of 223322222001000 in words is "two hundred twenty-three trillion, three hundred twenty-two billion, two hundred twenty-two million, one thousand".