214153200 has 240 divisors, whose sum is σ = 774950400. Its totient is φ = 56160000.

The previous prime is 214153189. The next prime is 214153213. The reversal of 214153200 is 2351412.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 853075 + ... + 853325.

It is an arithmetic number, because the mean of its divisors is an integer number (3228960).

Almost surely, 2^214153200 is an apocalyptic number.

214153200 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 214153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387475200).

214153200 is an abundant number, since it is smaller than the sum of its proper divisors (560797200).

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

214153200 is a wasteful number, since it uses less digits than its factorization.

214153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214153200 is about 14633.9741697189. The cubic root of 214153200 is about 598.2851032181.

The spelling of 214153200 in words is "two hundred fourteen million, one hundred fifty-three thousand, two hundred".