214023600 has 480 divisors, whose sum is σ = 922560000. Its totient is φ = 46033920.

The previous prime is 214023587. The next prime is 214023637. The reversal of 214023600 is 6320412.

It is a happy number.

214023600 is a `hidden beast` number, since 2 + 1 + 40 + 23 + 600 = 666.

214023600 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214023600² = 91612202713920000, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1436326 + ... + 1436474.

It is an arithmetic number, because the mean of its divisors is an integer number (1922000).

Almost surely, 2^214023600 is an apocalyptic number.

214023600 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 214023600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461280000).

214023600 is an abundant number, since it is smaller than the sum of its proper divisors (708536400).

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

214023600 is a wasteful number, since it uses less digits than its factorization.

214023600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 214023600 is about 14629.5454474840. The cubic root of 214023600 is about 598.1643899531.

The spelling of 214023600 in words is "two hundred fourteen million, twenty-three thousand, six hundred".