214747200 has 210 divisors, whose sum is σ = 789833066. Its totient is φ = 57231360.

The previous prime is 214747193. The next prime is 214747231. The reversal of 214747200 is 2747412.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5308416 + 209438784 = 2304^2 + 14472^2 .

It is a super-2 number, since 2×214747200² = 92232719815680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128772 + ... + 130428.

Almost surely, 2^214747200 is an apocalyptic number.

214747200 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 214747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394916533).

214747200 is an abundant number, since it is smaller than the sum of its proper divisors (575085866).

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

214747200 is a wasteful number, since it uses less digits than its factorization.

214747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 214747200 is about 14654.2553546743. The cubic root of 214747200 is about 598.8377500789.

The spelling of 214747200 in words is "two hundred fourteen million, seven hundred forty-seven thousand, two hundred".