213554240 has 84 divisors (see below), whose sum is σ = 522544548. Its totient is φ = 83128320.

The previous prime is 213554227. The next prime is 213554251. The reversal of 213554240 is 42455312.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 58003456 + 155550784 = 7616^2 + 12472^2 .

It is a nialpdrome in base 16.

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 11 ways as a sum of consecutive naturals, for example, 537722 + ... + 538118.

Almost surely, 2^213554240 is an apocalyptic number.

213554240 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 213554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261272274).

213554240 is an abundant number, since it is smaller than the sum of its proper divisors (308990308).

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

213554240 is an equidigital number, since it uses as much as digits as its factorization.

213554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 213554240 is about 14613.4951329242. The cubic root of 213554240 is about 597.7268059317.

The spelling of 213554240 in words is "two hundred thirteen million, five hundred fifty-four thousand, two hundred forty".