213224064 has 128 divisors (see below), whose sum is σ = 608083200. Its totient is φ = 65961984.

The previous prime is 213224059. The next prime is 213224071. The reversal of 213224064 is 460422312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 580809 + ... + 581175.

It is an arithmetic number, because the mean of its divisors is an integer number (4750650).

Almost surely, 2^213224064 is an apocalyptic number.

213224064 is a gapful number since it is divisible by the number (24) 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 213224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304041600).

213224064 is an abundant number, since it is smaller than the sum of its proper divisors (394859136).

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

213224064 is a wasteful number, since it uses less digits than its factorization.

213224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 213224064 is about 14602.1938077811. The cubic root of 213224064 is about 597.4185987623.

Adding to 213224064 its reverse (460422312), we get a palindrome (673646376).

The spelling of 213224064 in words is "two hundred thirteen million, two hundred twenty-four thousand, sixty-four".