213224000 has 112 divisors (see below), whose sum is σ = 576291456. Its totient is φ = 77504000.

The previous prime is 213223991. The next prime is 213224009. The reversal of 213224000 is 422312.

It is an interprime number because it is at equal distance from previous prime (213223991) and next prime (213224009).

It is not an unprimeable number, because it can be changed into a prime (213224009) 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, 86789 + ... + 89211.

Almost surely, 2^213224000 is an apocalyptic number.

213224000 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 213224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288145728).

213224000 is an abundant number, since it is smaller than the sum of its proper divisors (363067456).

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

213224000 is a wasteful number, since it uses less digits than its factorization.

213224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2441 counting only the distinct ones).

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

The square root of 213224000 is about 14602.1916163294. The cubic root of 213224000 is about 597.4185389898.

Adding to 213224000 its reverse (422312), we get a palindrome (213646312).

The spelling of 213224000 in words is "two hundred thirteen million, two hundred twenty-four thousand".