213422000 has 160 divisors (see below), whose sum is σ = 574516800. Its totient is φ = 76032000.

The previous prime is 213421979. The next prime is 213422009. The reversal of 213422000 is 224312.

213422000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213422009) 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, 1957946 + ... + 1958054.

It is an arithmetic number, because the mean of its divisors is an integer number (3590730).

Almost surely, 2^213422000 is an apocalyptic number.

213422000 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 213422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287258400).

213422000 is an abundant number, since it is smaller than the sum of its proper divisors (361094800).

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

213422000 is a wasteful number, since it uses less digits than its factorization.

213422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 213422000 is about 14608.9698473233. The cubic root of 213422000 is about 597.6034029126.

Adding to 213422000 its reverse (224312), we get a palindrome (213646312).

The spelling of 213422000 in words is "two hundred thirteen million, four hundred twenty-two thousand".