213248000 has 288 divisors, whose sum is σ = 655429320. Its totient is φ = 68812800.

The previous prime is 213247981. The next prime is 213248023. The reversal of 213248000 is 842312.

213248000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 92775424 + 120472576 = 9632^2 + 10976^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 12543992 + ... + 12544008.

Almost surely, 2^213248000 is an apocalyptic number.

213248000 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 213248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327714660).

213248000 is an abundant number, since it is smaller than the sum of its proper divisors (442181320).

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

213248000 is an equidigital number, since it uses as much as digits as its factorization.

213248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 213248000 is about 14603.0133876539. The cubic root of 213248000 is about 597.4409528316.

The spelling of 213248000 in words is "two hundred thirteen million, two hundred forty-eight thousand".