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220112112 = 243111937593
BaseRepresentation
bin11010001111010…
…10010011110000
3120100011212001110
431013222103300
5422322041422
633501433320
75311631163
oct1507522360
9510155043
10220112112
1110327a540
126186b840
13367a976c
1421339ada
15144cd60c
hexd1ea4f0

220112112 has 160 divisors (see below), whose sum is σ = 671742720. Its totient is φ = 61378560.

The previous prime is 220112111. The next prime is 220112119. The reversal of 220112112 is 211211022.

220112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (220112111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370888 + ... + 371480.

It is an arithmetic number, because the mean of its divisors is an integer number (4198392).

Almost surely, 2220112112 is an apocalyptic number.

220112112 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 220112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335871360).

220112112 is an abundant number, since it is smaller than the sum of its proper divisors (451630608).

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

220112112 is a wasteful number, since it uses less digits than its factorization.

220112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 220112112 is about 14836.1757875808. The cubic root of 220112112 is about 603.7836015574.

Adding to 220112112 its reverse (211211022), we get a palindrome (431323134).

The spelling of 220112112 in words is "two hundred twenty million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 37 38 44 48 57 66 74 76 88 111 114 132 148 152 176 209 222 228 264 296 304 407 418 444 456 528 592 593 627 703 814 836 888 912 1186 1221 1254 1406 1628 1672 1776 1779 2109 2372 2442 2508 2812 3256 3344 3558 4218 4744 4884 5016 5624 6512 6523 7116 7733 8436 9488 9768 10032 11248 11267 13046 14232 15466 16872 19536 19569 21941 22534 23199 26092 28464 30932 33744 33801 39138 43882 45068 46398 52184 61864 65823 67602 78276 87764 90136 92796 104368 123728 123937 131646 135204 156552 175528 180272 185592 241351 247874 263292 270408 313104 351056 371184 371811 416879 482702 495748 526584 540816 724053 743622 833758 965404 991496 1053168 1250637 1448106 1487244 1667516 1930808 1982992 2501274 2896212 2974488 3335032 3861616 4585669 5002548 5792424 5948976 6670064 9171338 10005096 11584848 13757007 18342676 20010192 27514014 36685352 55028028 73370704 110056056 220112112