213202704 has 160 divisors (see below), whose sum is σ = 656208000. Its totient is φ = 58798080.

The previous prime is 213202679. The next prime is 213202723. The reversal of 213202704 is 407202312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610722 + ... + 611070.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^213202704 is an apocalyptic number.

213202704 is a gapful number since it is divisible by the number (24) 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 213202704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328104000).

213202704 is an abundant number, since it is smaller than the sum of its proper divisors (443005296).

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

213202704 is a wasteful number, since it uses less digits than its factorization.

213202704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 213202704 is about 14601.4623925140. The cubic root of 213202704 is about 597.3986490325.

The spelling of 213202704 in words is "two hundred thirteen million, two hundred two thousand, seven hundred four".