214220292 has 96 divisors (see below), whose sum is σ = 606326784. Its totient is φ = 57974400.

The previous prime is 214220287. The next prime is 214220297. The reversal of 214220292 is 292022412.

It is an interprime number because it is at equal distance from previous prime (214220287) and next prime (214220297).

It is not an unprimeable number, because it can be changed into a prime (214220297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51183 + ... + 55209.

It is an arithmetic number, because the mean of its divisors is an integer number (6315904).

Almost surely, 2^214220292 is an apocalyptic number.

214220292 is a gapful number since it is divisible by the number (22) 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 214220292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303163392).

214220292 is an abundant number, since it is smaller than the sum of its proper divisors (392106492).

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

214220292 is a wasteful number, since it uses less digits than its factorization.

214220292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 214220292 is about 14636.2663271751. The cubic root of 214220292 is about 598.3475755557.

The spelling of 214220292 in words is "two hundred fourteen million, two hundred twenty thousand, two hundred ninety-two".