213196500 has 288 divisors, whose sum is σ = 756362880. Its totient is φ = 50112000.

The previous prime is 213196493. The next prime is 213196561. The reversal of 213196500 is 5691312.

213196500 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 9 + 650 + 0 = 666.

It is a super-2 number, since 2×213196500² = 90905495224500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2920464 + ... + 2920536.

It is an arithmetic number, because the mean of its divisors is an integer number (2626260).

Almost surely, 2^213196500 is an apocalyptic number.

213196500 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 213196500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378181440).

213196500 is an abundant number, since it is smaller than the sum of its proper divisors (543166380).

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

213196500 is a wasteful number, since it uses less digits than its factorization.

213196500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 213196500 is about 14601.2499464943. The cubic root of 213196500 is about 597.3928543949.

The spelling of 213196500 in words is "two hundred thirteen million, one hundred ninety-six thousand, five hundred".