213922800 has 360 divisors, whose sum is σ = 915087264. Its totient is φ = 45066240.

The previous prime is 213922799. The next prime is 213922801. The reversal of 213922800 is 8229312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213922799) and next prime (213922801).

It is a tau number, because it is divible by the number of its divisors (360).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213922801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327274 + ... + 327926.

Almost surely, 2^213922800 is an apocalyptic number.

213922800 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 213922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457543632).

213922800 is an abundant number, since it is smaller than the sum of its proper divisors (701164464).

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

213922800 is a wasteful number, since it uses less digits than its factorization.

213922800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 213922800 is about 14626.0999586356. The cubic root of 213922800 is about 598.0704681632.

The spelling of 213922800 in words is "two hundred thirteen million, nine hundred twenty-two thousand, eight hundred".