213233004 has 72 divisors (see below), whose sum is σ = 560396928. Its totient is φ = 68290560.

The previous prime is 213232967. The next prime is 213233011. The reversal of 213233004 is 400332312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174604 + ... + 175820.

Almost surely, 2^213233004 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 213233004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280198464).

213233004 is an abundant number, since it is smaller than the sum of its proper divisors (347163924).

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

213233004 is a wasteful number, since it uses less digits than its factorization.

213233004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 213233004 is about 14602.4999229584. The cubic root of 213233004 is about 597.4269481133.

213233004 divided by its sum of digits (18) gives a triangular number (11846278 = T₄₈₆₇).

Adding to 213233004 its reverse (400332312), we get a palindrome (613565316).

The spelling of 213233004 in words is "two hundred thirteen million, two hundred thirty-three thousand, four".