214222400 has 168 divisors, whose sum is σ = 622864896. Its totient is φ = 70963200.

The previous prime is 214222363. The next prime is 214222403. The reversal of 214222400 is 4222412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214222403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346892 + ... + 347508.

Almost surely, 2^214222400 is an apocalyptic number.

214222400 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 214222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311432448).

214222400 is an abundant number, since it is smaller than the sum of its proper divisors (408642496).

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

214222400 is a wasteful number, since it uses less digits than its factorization.

214222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 214222400 is about 14636.3383398991. The cubic root of 214222400 is about 598.3495381967.

Adding to 214222400 its reverse (4222412), we get a palindrome (218444812).

It can be divided in two parts, 2142 and 22400, that added together give a palindrome (24542).

The spelling of 214222400 in words is "two hundred fourteen million, two hundred twenty-two thousand, four hundred".