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232122 = 23113517
BaseRepresentation
bin111000101010111010
3102210102010
4320222322
524411442
64550350
71654512
oct705272
9383363
10232122
11149440
12b23b6
1381867
1460842
1548b9c
hex38aba

232122 has 16 divisors (see below), whose sum is σ = 506592. Its totient is φ = 70320.

The previous prime is 232117. The next prime is 232129. The reversal of 232122 is 221232.

Adding to 232122 its reverse (221232), we get a palindrome (453354).

It can be divided in two parts, 23 and 2122, that added together give a triangular number (2145 = T65).

232122 is nontrivially palindromic in base 5.

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

It is a junction number, because it is equal to n+sod(n) for n = 232098 and 232107.

It is not an unprimeable number, because it can be changed into a prime (232129) by changing a digit.

232122 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, 1693 + ... + 1824.

It is an arithmetic number, because the mean of its divisors is an integer number (31662).

2232122 is an apocalyptic number.

232122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

232122 is an abundant number, since it is smaller than the sum of its proper divisors (274470).

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

232122 is a wasteful number, since it uses less digits than its factorization.

232122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533.

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

The square root of 232122 is about 481.7904108635. The cubic root of 232122 is about 61.4571053922.

The spelling of 232122 in words is "two hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 3517 7034 10551 21102 38687 77374 116061 232122