216214800 has 60 divisors (see below), whose sum is σ = 692611920. Its totient is φ = 57656960.

The previous prime is 216214799. The next prime is 216214847. The reversal of 216214800 is 8412612.

216214800 = T₂₉₈ + T₂₉₉ + ... + T₁₀₉₇.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88890 + ... + 91289.

It is an arithmetic number, because the mean of its divisors is an integer number (11543532).

Almost surely, 2^216214800 is an apocalyptic number.

216214800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216214800 is an abundant number, since it is smaller than the sum of its proper divisors (476397120).

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

216214800 is a wasteful number, since it uses less digits than its factorization.

216214800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180200 (or 180189 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 216214800 is about 14704.2442852396. The cubic root of 216214800 is about 600.1988229973.

The spelling of 216214800 in words is "two hundred sixteen million, two hundred fourteen thousand, eight hundred".