214739600 has 30 divisors (see below), whose sum is σ = 515912850. Its totient is φ = 85895680.

The previous prime is 214739599. The next prime is 214739621. The reversal of 214739600 is 6937412.

It can be written as a sum of positive squares in 3 ways, for example, as 21418384 + 193321216 = 4628^2 + 13904^2 .

It is a super-2 number, since 2×214739600² = 92226191616320000, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 268025 + ... + 268824.

It is an arithmetic number, because the mean of its divisors is an integer number (17197095).

Almost surely, 2^214739600 is an apocalyptic number.

214739600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214739600 is an abundant number, since it is smaller than the sum of its proper divisors (301173250).

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

214739600 is a wasteful number, since it uses less digits than its factorization.

214739600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536867 (or 536856 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 214739600 is about 14653.9960420358. The cubic root of 214739600 is about 598.8306856165.

The spelling of 214739600 in words is "two hundred fourteen million, seven hundred thirty-nine thousand, six hundred".