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112330224 = 24322937727
BaseRepresentation
bin1101011001000…
…00010111110000
321211100222002200
412230200113300
5212224031344
615051343200
72532535236
oct654402760
9254328080
10112330224
11584533a6
1231751b00
131a36cbb6
1410cc0956
159cdd069
hex6b205f0

112330224 has 120 divisors (see below), whose sum is σ = 334457760. Its totient is φ = 35126784.

The previous prime is 112330213. The next prime is 112330301. The reversal of 112330224 is 422033211.

112330224 is a `hidden beast` number, since 112 + 330 + 224 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112330197 and 112330206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154149 + ... + 154875.

It is an arithmetic number, because the mean of its divisors is an integer number (2787148).

Almost surely, 2112330224 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 112330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167228880).

112330224 is an abundant number, since it is smaller than the sum of its proper divisors (222127536).

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

112330224 is a wasteful number, since it uses less digits than its factorization.

112330224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 798 counting only the distinct ones).

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

The square root of 112330224 is about 10598.5953786339. The cubic root of 112330224 is about 482.5017301521.

Adding to 112330224 its reverse (422033211), we get a palindrome (534363435).

The spelling of 112330224 in words is "one hundred twelve million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 37 48 58 72 74 87 111 116 144 148 174 222 232 261 296 333 348 444 464 522 592 666 696 727 888 1044 1073 1332 1392 1454 1776 2088 2146 2181 2664 2908 3219 4176 4292 4362 5328 5816 6438 6543 8584 8724 9657 11632 12876 13086 17168 17448 19314 21083 25752 26172 26899 34896 38628 42166 51504 52344 53798 63249 77256 80697 84332 104688 107596 126498 154512 161394 168664 189747 215192 242091 252996 322788 337328 379494 430384 484182 505992 645576 758988 780071 968364 1011984 1291152 1517976 1560142 1936728 2340213 3035952 3120284 3873456 4680426 6240568 7020639 9360852 12481136 14041278 18721704 28082556 37443408 56165112 112330224