213322000 has 40 divisors (see below), whose sum is σ = 515817432. Its totient is φ = 85328000.

The previous prime is 213321989. The next prime is 213322007. The reversal of 213322000 is 223312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 213043216 = 528^2 + 14596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (213322007) 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 7 ways as a sum of consecutive naturals, for example, 51331 + ... + 55330.

Almost surely, 2^213322000 is an apocalyptic number.

213322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213322000 is an abundant number, since it is smaller than the sum of its proper divisors (302495432).

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

213322000 is a wasteful number, since it uses less digits than its factorization.

213322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106684 (or 106668 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 213322000 is about 14605.5468915067. The cubic root of 213322000 is about 597.5100515924.

Adding to 213322000 its reverse (223312), we get a palindrome (213545312).

It can be divided in two parts, 21332 and 2000, that added together give a palindrome (23332).

The spelling of 213322000 in words is "two hundred thirteen million, three hundred twenty-two thousand".