214293690 has 144 divisors (see below), whose sum is σ = 614752632. Its totient is φ = 51757056.

The previous prime is 214293689. The next prime is 214293697. The reversal of 214293690 is 96392412.

It can be written as a sum of positive squares in 12 ways, for example, as 6155361 + 208138329 = 2481^2 + 14427^2 .

It is a super-2 number, since 2×214293690² = 91843571147632200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214293697) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1110234 + ... + 1110426.

Almost surely, 2^214293690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214293690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307376316).

214293690 is an abundant number, since it is smaller than the sum of its proper divisors (400458942).

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

214293690 is a wasteful number, since it uses less digits than its factorization.

214293690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 214293690 is about 14638.7735141985. The cubic root of 214293690 is about 598.4159047510.

The spelling of 214293690 in words is "two hundred fourteen million, two hundred ninety-three thousand, six hundred ninety".