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230222430 = 2325193143101
BaseRepresentation
bin11011011100011…
…10101001011110
3121001012111210200
431232032221132
5432414104210
634502244330
75463600264
oct1556165136
9531174720
10230222430
11108a55579
12651266a6
13389095b9
142280c434
15153290c0
hexdb8ea5e

230222430 has 192 divisors, whose sum is σ = 672122880. Its totient is φ = 54432000.

The previous prime is 230222429. The next prime is 230222431. The reversal of 230222430 is 34222032.

230222430 is a `hidden beast` number, since 230 + 2 + 2 + 2 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (230222429) and next prime (230222431).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230222431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2279380 + ... + 2279480.

It is an arithmetic number, because the mean of its divisors is an integer number (3500640).

Almost surely, 2230222430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230222430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336061440).

230222430 is an abundant number, since it is smaller than the sum of its proper divisors (441900450).

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

230222430 is a wasteful number, since it uses less digits than its factorization.

230222430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230222430 is about 15173.0824159101. The cubic root of 230222430 is about 612.8900128844.

Adding to 230222430 its reverse (34222032), we get a palindrome (264444462).

It can be divided in two parts, 23022 and 2430, that added together give a palindrome (25452).

The spelling of 230222430 in words is "two hundred thirty million, two hundred twenty-two thousand, four hundred thirty".