213133488 has 160 divisors (see below), whose sum is σ = 626745600. Its totient is φ = 62005248.

The previous prime is 213133447. The next prime is 213133493. The reversal of 213133488 is 884331312.

It is a super-2 number, since 2×213133488² = 90851767414092288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 914620 + ... + 914852.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 2^213133488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213133488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313372800).

213133488 is an abundant number, since it is smaller than the sum of its proper divisors (413612112).

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

213133488 is a wasteful number, since it uses less digits than its factorization.

213133488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 213133488 is about 14599.0920265611. The cubic root of 213133488 is about 597.3339937856. Note that the first 3 decimals are identical.

The spelling of 213133488 in words is "two hundred thirteen million, one hundred thirty-three thousand, four hundred eighty-eight".