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220112200 = 235271114293
BaseRepresentation
bin11010001111010…
…10010101001000
3120100011212011201
431013222111020
5422322042300
633501433544
75311631350
oct1507522510
9510155151
10220112200
1110327a610
126186b8b4
13367a9809
1421339b60
15144cd66a
hexd1ea548

220112200 has 96 divisors (see below), whose sum is σ = 638084160. Its totient is φ = 68601600.

The previous prime is 220112171. The next prime is 220112213. The reversal of 220112200 is 2211022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8254 + ... + 22546.

It is an arithmetic number, because the mean of its divisors is an integer number (6646710).

Almost surely, 2220112200 is an apocalyptic number.

220112200 is a gapful number since it is divisible by the number (20) 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 220112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319042080).

220112200 is an abundant number, since it is smaller than the sum of its proper divisors (417971960).

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

220112200 is a wasteful number, since it uses less digits than its factorization.

220112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14327 (or 14318 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 220112200 is about 14836.1787533044. The cubic root of 220112200 is about 603.7836820209.

Adding to 220112200 its reverse (2211022), we get a palindrome (222323222).

The spelling of 220112200 in words is "two hundred twenty million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 14293 15400 28586 57172 71465 100051 114344 142930 157223 200102 285860 314446 357325 400204 500255 571720 628892 714650 786115 800408 1000510 1100561 1257784 1429300 1572230 2001020 2201122 2501275 2858600 3144460 3930575 4002040 4402244 5002550 5502805 6288920 7861150 8804488 10005100 11005610 15722300 20010200 22011220 27514025 31444600 44022440 55028050 110056100 220112200