220223003000 has 768 divisors, whose sum is σ = 718753875840. Its totient is φ = 62060544000.

The previous prime is 220223002891. The next prime is 220223003017. The reversal of 220223003000 is 300322022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 371370704 + ... + 371371296.

Almost surely, 2^220223003000 is an apocalyptic number.

220223003000 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 220223003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359376937920).

220223003000 is an abundant number, since it is smaller than the sum of its proper divisors (498530872840).

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

220223003000 is a wasteful number, since it uses less digits than its factorization.

220223003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 220223003000 its reverse (300322022), we get a palindrome (220523325022).

The spelling of 220223003000 in words is "two hundred twenty billion, two hundred twenty-three million, three thousand".