214302264 has 64 divisors (see below), whose sum is σ = 585792000. Its totient is φ = 64792320.

The previous prime is 214302259. The next prime is 214302269. The reversal of 214302264 is 462203412.

It is an interprime number because it is at equal distance from previous prime (214302259) and next prime (214302269).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214302269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189252 + ... + 190380.

It is an arithmetic number, because the mean of its divisors is an integer number (9153000).

Almost surely, 2^214302264 is an apocalyptic number.

214302264 is a gapful number since it is divisible by the number (24) 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 214302264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292896000).

214302264 is an abundant number, since it is smaller than the sum of its proper divisors (371489736).

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

214302264 is a wasteful number, since it uses less digits than its factorization.

214302264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 214302264 is about 14639.0663636722. The cubic root of 214302264 is about 598.4238856199.

Adding to 214302264 its reverse (462203412), we get a palindrome (676505676).

The spelling of 214302264 in words is "two hundred fourteen million, three hundred two thousand, two hundred sixty-four".