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23201112 = 23311233821
BaseRepresentation
bin101100010000…
…0010101011000
31121122201221110
41120200111120
521414413422
62145140320
7401130504
oct130402530
947581843
1023201112
1112107380
12792a6a0
134a6448c
14311d304
15208460c
hex1620558

23201112 has 64 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 6723200.

The previous prime is 23201099. The next prime is 23201117. The reversal of 23201112 is 21110232.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201117) 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, 4162 + ... + 7982.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 223201112 is an apocalyptic number.

23201112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

23201112 is an abundant number, since it is smaller than the sum of its proper divisors (42843048).

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

23201112 is a wasteful number, since it uses less digits than its factorization.

23201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 23201112 is about 4816.7532633507. The cubic root of 23201112 is about 285.2131861372.

Adding to 23201112 its reverse (21110232), we get a palindrome (44311344).

The spelling of 23201112 in words is "twenty-three million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 3821 6072 7642 11463 15284 22926 30568 42031 45852 84062 87883 91704 126093 168124 175766 252186 263649 336248 351532 504372 527298 703064 966713 1008744 1054596 1933426 2109192 2900139 3866852 5800278 7733704 11600556 23201112