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2023112 = 237213397
BaseRepresentation
bin111101101111011001000
310210210012002
413231323020
51004214422
6111210132
723124200
oct7557310
93723162
102023112
111161aa3
12816948
1355ab10
143a9400
1529e692
hex1edec8

2023112 has 48 divisors (see below), whose sum is σ = 4764060. Its totient is φ = 798336.

The previous prime is 2023097. The next prime is 2023117. The reversal of 2023112 is 2113202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1999396 + 23716 = 1414^2 + 154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2023093 and 2023102.

It is not an unprimeable number, because it can be changed into a prime (2023117) 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 11 ways as a sum of consecutive naturals, for example, 4898 + ... + 5294.

22023112 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 2023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382030).

2023112 is an abundant number, since it is smaller than the sum of its proper divisors (2740948).

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

2023112 is a wasteful number, since it uses less digits than its factorization.

2023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2023112 is about 1422.3614167995. The cubic root of 2023112 is about 126.4755690294.

Adding to 2023112 its reverse (2113202), we get a palindrome (4136314).

It can be divided in two parts, 2023 and 112, that multiplied together give a square (226576 = 4762).

The spelling of 2023112 in words is "two million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 397 637 728 794 1274 1588 2548 2779 3176 5096 5161 5558 10322 11116 19453 20644 22232 36127 38906 41288 72254 77812 144508 155624 252889 289016 505778 1011556 2023112