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112232320 = 275296047
BaseRepresentation
bin1101011000010…
…00011110000000
321211011222210121
412230020132000
5212212413240
615045310024
72531646634
oct654103600
9254158717
10112232320
1158396892
1231705314
131a337475
1410c96dc4
159cbe04a
hex6b08780

112232320 has 64 divisors (see below), whose sum is σ = 277603200. Its totient is φ = 43337728.

The previous prime is 112232273. The next prime is 112232339. The reversal of 112232320 is 23232211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112232294 and 112232303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15537 + ... + 21583.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2112232320 is an apocalyptic number.

112232320 is a gapful number since it is divisible by the number (10) 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 112232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

112232320 is an abundant number, since it is smaller than the sum of its proper divisors (165370880).

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

112232320 is an equidigital number, since it uses as much as digits as its factorization.

112232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6095 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 112232320 is about 10593.9756465644. The cubic root of 112232320 is about 482.3615108998.

Adding to 112232320 its reverse (23232211), we get a palindrome (135464531).

The spelling of 112232320 in words is "one hundred twelve million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 6047 9280 12094 18560 24188 30235 48376 60470 96752 120940 175363 193504 241880 350726 387008 483760 701452 774016 876815 967520 1402904 1753630 1935040 2805808 3507260 3870080 5611616 7014520 11223232 14029040 22446464 28058080 56116160 112232320