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212430 = 2357397
BaseRepresentation
bin110011110111001110
3101210101210
4303313032
523244210
64315250
71543221
oct636716
9353353
10212430
11135669
12a2b26
13758ca
14575b8
1542e20
hex33dce

212430 has 32 divisors (see below), whose sum is σ = 522144. Its totient is φ = 55296.

The previous prime is 212423. The next prime is 212437. The reversal of 212430 is 34212.

212430 is nontrivially palindromic in base 9.

212430 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (212423) and next prime (212437).

It is a Curzon number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212437) 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, 2142 + ... + 2238.

It is an arithmetic number, because the mean of its divisors is an integer number (16317).

2212430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261072).

212430 is an abundant number, since it is smaller than the sum of its proper divisors (309714).

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

212430 is a wasteful number, since it uses less digits than its factorization.

212430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 212430 is about 460.9012909507. The cubic root of 212430 is about 59.6676064200.

Adding to 212430 its reverse (34212), we get a palindrome (246642).

The spelling of 212430 in words is "two hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 97 146 194 219 291 365 438 485 582 730 970 1095 1455 2190 2910 7081 14162 21243 35405 42486 70810 106215 212430