213546900 has 216 divisors, whose sum is σ = 732244800. Its totient is φ = 47900160.

The previous prime is 213546887. The next prime is 213546919. The reversal of 213546900 is 9645312.

It is a super-2 number, since 2×213546900² = 91204556999220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1073001 + ... + 1073199.

Almost surely, 2^213546900 is an apocalyptic number.

213546900 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 213546900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366122400).

213546900 is an abundant number, since it is smaller than the sum of its proper divisors (518697900).

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

213546900 is a wasteful number, since it uses less digits than its factorization.

213546900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 213546900 is about 14613.2439930359. The cubic root of 213546900 is about 597.7199577651.

The spelling of 213546900 in words is "two hundred thirteen million, five hundred forty-six thousand, nine hundred".