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212232 = 23337239
BaseRepresentation
bin110011110100001000
3101210010110
4303310020
523242412
64314320
71542516
oct636410
9353113
10212232
111354a9
12a29a0
13757a7
14574b6
1542d3c
hex33d08

212232 has 32 divisors (see below), whose sum is σ = 547200. Its totient is φ = 68544.

The previous prime is 212227. The next prime is 212239. The reversal of 212232 is 232212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212239) by changing a digit.

212232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 769 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2212232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273600).

212232 is an abundant number, since it is smaller than the sum of its proper divisors (334968).

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

212232 is a wasteful number, since it uses less digits than its factorization.

212232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

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

The square root of 212232 is about 460.6864443415. The cubic root of 212232 is about 59.6490624941.

Adding to 212232 its reverse (232212), we get a palindrome (444444).

It can be divided in two parts, 212 and 232, that added together give a palindrome (444).

The spelling of 212232 in words is "two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 239 296 444 478 717 888 956 1434 1912 2868 5736 8843 17686 26529 35372 53058 70744 106116 212232