221322000 has 80 divisors (see below), whose sum is σ = 713561472. Its totient is φ = 59017600.

The previous prime is 221321957. The next prime is 221322001. The reversal of 221322000 is 223122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×221322000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (221322001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12444 + ... + 24443.

Almost surely, 2^221322000 is an apocalyptic number.

221322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221322000 is an abundant number, since it is smaller than the sum of its proper divisors (492239472).

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

221322000 is a wasteful number, since it uses less digits than its factorization.

221322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36913 (or 36897 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 221322000 is about 14876.8948372972. The cubic root of 221322000 is about 604.8878511700.

Adding to 221322000 its reverse (223122), we get a palindrome (221545122).

The spelling of 221322000 in words is "two hundred twenty-one million, three hundred twenty-two thousand".