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112325232 = 2435367659
BaseRepresentation
bin1101011000111…
…11001001110000
321211100201020210
412230133021300
5212223401412
615051304120
72532514545
oct654371160
9254321223
10112325232
115844a678
123174b040
131a36a846
1410cbcbcc
159cdb83c
hex6b1f270

112325232 has 80 divisors (see below), whose sum is σ = 300516480. Its totient is φ = 36132096.

The previous prime is 112325201. The next prime is 112325249. The reversal of 112325232 is 232523211.

It is a junction number, because it is equal to n+sod(n) for n = 112325199 and 112325208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170119 + ... + 170777.

It is an arithmetic number, because the mean of its divisors is an integer number (3756456).

Almost surely, 2112325232 is an apocalyptic number.

112325232 is a gapful number since it is divisible by the number (12) 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 112325232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150258240).

112325232 is an abundant number, since it is smaller than the sum of its proper divisors (188191248).

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

112325232 is a wasteful number, since it uses less digits than its factorization.

112325232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 112325232 is about 10598.3598731124. The cubic root of 112325232 is about 482.4945825230.

Adding to 112325232 its reverse (232523211), we get a palindrome (344848443).

It can be divided in two parts, 11 and 2325232, that multiplied together give a palindrome (25577552).

The spelling of 112325232 in words is "one hundred twelve million, three hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 67 106 134 159 201 212 268 318 402 424 536 636 659 804 848 1072 1272 1318 1608 1977 2544 2636 3216 3551 3954 5272 7102 7908 10544 10653 14204 15816 21306 28408 31632 34927 42612 44153 56816 69854 85224 88306 104781 132459 139708 170448 176612 209562 264918 279416 353224 419124 529836 558832 706448 838248 1059672 1676496 2119344 2340109 4680218 7020327 9360436 14040654 18720872 28081308 37441744 56162616 112325232