218252430 has 192 divisors, whose sum is σ = 669876480. Its totient is φ = 48729600.

The previous prime is 218252429. The next prime is 218252473. The reversal of 218252430 is 34252812.

218252430 is a `hidden beast` number, since 2 + 182 + 52 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 218252394 and 218252403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 771069 + ... + 771351.

It is an arithmetic number, because the mean of its divisors is an integer number (3488940).

Almost surely, 2^218252430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218252430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334938240).

218252430 is an abundant number, since it is smaller than the sum of its proper divisors (451624050).

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

218252430 is a wasteful number, since it uses less digits than its factorization.

218252430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 218252430 is about 14773.3689455046. The cubic root of 218252430 is about 602.0783756119.

The spelling of 218252430 in words is "two hundred eighteen million, two hundred fifty-two thousand, four hundred thirty".