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232112322 = 2321317193783
BaseRepresentation
bin11011101010111…
…00000011000010
3121011202112020200
431311130003002
5433410043242
635010550030
75515631211
oct1565340302
9534675220
10232112322
1110a026472
1265898316
133911b890
1422b81078
151559e04c
hexdd5c0c2

232112322 has 192 divisors, whose sum is σ = 627419520. Its totient is φ = 61212672.

The previous prime is 232112311. The next prime is 232112329. The reversal of 232112322 is 223211232.

232112322 is a `hidden beast` number, since 232 + 112 + 322 = 666.

232112322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2321123222 = 107752260048463368, which contains 22 as substring.

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

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 = 232112295 and 232112304.

It is not an unprimeable number, because it can be changed into a prime (232112329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2796493 + ... + 2796575.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2232112322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232112322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

232112322 is an abundant number, since it is smaller than the sum of its proper divisors (395307198).

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

232112322 is a wasteful number, since it uses less digits than its factorization.

232112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 174 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 232112322 is about 15235.2329158435. The cubic root of 232112322 is about 614.5625125781.

Adding to 232112322 its reverse (223211232), we get a palindrome (455323554).

It can be divided in two parts, 23211232 and 2, that multiplied together give a palindrome (46422464).

The spelling of 232112322 in words is "two hundred thirty-two million, one hundred twelve thousand, three hundred twenty-two".