213231744 has 256 divisors, whose sum is σ = 705024000. Its totient is φ = 62899200.

The previous prime is 213231719. The next prime is 213231749. The reversal of 213231744 is 447132312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213231749) 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 31 ways as a sum of consecutive naturals, for example, 2699097 + ... + 2699175.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2^213231744 is an apocalyptic number.

213231744 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 213231744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352512000).

213231744 is an abundant number, since it is smaller than the sum of its proper divisors (491792256).

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

213231744 is a wasteful number, since it uses less digits than its factorization.

213231744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 213231744 is about 14602.4567795971. The cubic root of 213231744 is about 597.4257713732.

The spelling of 213231744 in words is "two hundred thirteen million, two hundred thirty-one thousand, seven hundred forty-four".