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112420224 = 273471549
BaseRepresentation
bin1101011001101…
…10010110000000
321211112112120000
412230312112000
5212234421344
615053320000
72533361520
oct654662600
9254475500
10112420224
1158504a84
1231796000
131a3a1b57
1410d05680
159d09a69
hex6b36580

112420224 has 160 divisors (see below), whose sum is σ = 382602000. Its totient is φ = 32099328.

The previous prime is 112420213. The next prime is 112420241. The reversal of 112420224 is 422024211.

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 = 112420197 and 112420206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71802 + ... + 73350.

Almost surely, 2112420224 is an apocalyptic number.

112420224 is a gapful number since it is divisible by the number (14) 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 112420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191301000).

112420224 is an abundant number, since it is smaller than the sum of its proper divisors (270181776).

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

112420224 is an equidigital number, since it uses as much as digits as its factorization.

112420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 112420224 is about 10602.8403741639. The cubic root of 112420224 is about 482.6305573480.

Adding to 112420224 its reverse (422024211), we get a palindrome (534444435).

The spelling of 112420224 in words is "one hundred twelve million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1549 1728 2016 2268 2592 2688 3024 3098 3456 4032 4536 4647 5184 6048 6196 8064 9072 9294 10368 10843 12096 12392 13941 18144 18588 21686 24192 24784 27882 32529 36288 37176 41823 43372 49568 55764 65058 72576 74352 83646 86744 97587 99136 111528 125469 130116 148704 167292 173488 195174 198272 223056 250938 260232 292761 297408 334584 346976 390348 446112 501876 520464 585522 594816 669168 693952 780696 878283 892224 1003752 1040928 1171044 1338336 1387904 1561392 1756566 1784448 2007504 2081856 2342088 2676672 3122784 3513132 4015008 4163712 4684176 5353344 6245568 7026264 8030016 9368352 12491136 14052528 16060032 18736704 28105056 37473408 56210112 112420224