221233320 has 384 divisors, whose sum is σ = 938096640. Its totient is φ = 43845120.

The previous prime is 221233319. The next prime is 221233339. The reversal of 221233320 is 23332122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221233293 and 221233302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637387 + ... + 637733.

It is an arithmetic number, because the mean of its divisors is an integer number (2442960).

Almost surely, 2^221233320 is an apocalyptic number.

221233320 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 221233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469048320).

221233320 is an abundant number, since it is smaller than the sum of its proper divisors (716863320).

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

221233320 is a wasteful number, since it uses less digits than its factorization.

221233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 221233320 is about 14873.9140780092. The cubic root of 221233320 is about 604.8070509172.

Adding to 221233320 its reverse (23332122), we get a palindrome (244565442).

The spelling of 221233320 in words is "two hundred twenty-one million, two hundred thirty-three thousand, three hundred twenty".