223201020320 has 96 divisors (see below), whose sum is σ = 536808048336. Its totient is φ = 87677337600.

The previous prime is 223201020307. The next prime is 223201020349. The reversal of 223201020320 is 23020102322.

It can be written as a sum of positive squares in 8 ways, for example, as 103532071696 + 119668948624 = 321764^2 + 345932^2 .

It is a super-3 number, since 3×223201020320³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6238322 + ... + 6273998.

Almost surely, 2^223201020320 is an apocalyptic number.

223201020320 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 223201020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268404024168).

223201020320 is an abundant number, since it is smaller than the sum of its proper divisors (313607028016).

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

223201020320 is a wasteful number, since it uses less digits than its factorization.

223201020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36394 (or 36386 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 223201020320 its reverse (23020102322), we get a palindrome (246221122642).

The spelling of 223201020320 in words is "two hundred twenty-three billion, two hundred one million, twenty thousand, three hundred twenty".