223201221320 has 128 divisors (see below), whose sum is σ = 626272853760. Its totient is φ = 69552552960.

The previous prime is 223201221259. The next prime is 223201221329. The reversal of 223201221320 is 23122102322.

It is a happy number.

It is a super-3 number, since 3×223201221320³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 223201221292 and 223201221301.

It is not an unprimeable number, because it can be changed into a prime (223201221329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21545582 + ... + 21555938.

It is an arithmetic number, because the mean of its divisors is an integer number (4892756670).

Almost surely, 2^223201221320 is an apocalyptic number.

223201221320 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 223201221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313136426880).

223201221320 is an abundant number, since it is smaller than the sum of its proper divisors (403071632440).

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

223201221320 is a wasteful number, since it uses less digits than its factorization.

223201221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17383 (or 17379 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 223201221320 its reverse (23122102322), we get a palindrome (246323323642).

The spelling of 223201221320 in words is "two hundred twenty-three billion, two hundred one million, two hundred twenty-one thousand, three hundred twenty".