213229984 has 48 divisors (see below), whose sum is σ = 459345600. Its totient is φ = 96629760.

The previous prime is 213229957. The next prime is 213229993. The reversal of 213229984 is 489922312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151717 + ... + 153115.

It is an arithmetic number, because the mean of its divisors is an integer number (9569700).

Almost surely, 2^213229984 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 213229984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229672800).

213229984 is an abundant number, since it is smaller than the sum of its proper divisors (246115616).

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

213229984 is a wasteful number, since it uses less digits than its factorization.

213229984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1845 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 213229984 is about 14602.3965156408. The cubic root of 213229984 is about 597.4241276651.

The spelling of 213229984 in words is "two hundred thirteen million, two hundred twenty-nine thousand, nine hundred eighty-four".