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2200102212 = 2237115940357
BaseRepresentation
bin1000001100100010…
…1110010101000100
312200022212202212010
42003020232111010
514001211232322
61002151454220
7105343363110
oct20310562504
95608782763
102200102212
11a2999a3a0
12514987370
13290a69039
1416c2a6740
15cd23c20c
hex8322e544

2200102212 has 96 divisors (see below), whose sum is σ = 6508938240. Its totient is φ = 561755520.

The previous prime is 2200102199. The next prime is 2200102217. The reversal of 2200102212 is 2122010022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2200102217) 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, 34338 + ... + 74694.

It is an arithmetic number, because the mean of its divisors is an integer number (67801440).

Almost surely, 22200102212 is an apocalyptic number.

2200102212 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 2200102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254469120).

2200102212 is an abundant number, since it is smaller than the sum of its proper divisors (4308836028).

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

2200102212 is a wasteful number, since it uses less digits than its factorization.

2200102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40441 (or 40439 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2200102212 is about 46905.2471691601. The cubic root of 2200102212 is about 1300.6115883657.

Adding to 2200102212 its reverse (2122010022), we get a palindrome (4322112234).

It can be divided in two parts, 220010 and 2212, that added together give a palindrome (222222).

The spelling of 2200102212 in words is "two billion, two hundred million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 59 66 77 84 118 132 154 177 231 236 308 354 413 462 649 708 826 924 1239 1298 1652 1947 2478 2596 3894 4543 4956 7788 9086 13629 18172 27258 40357 54516 80714 121071 161428 242142 282499 443927 484284 564998 847497 887854 1129996 1331781 1694994 1775708 2381063 2663562 3107489 3389988 4762126 5327124 6214978 7143189 9322467 9524252 12429956 14286378 16667441 18644934 26191693 28572756 33334882 37289868 50002323 52383386 66669764 78575079 100004646 104766772 157150158 183341851 200009292 314300316 366683702 550025553 733367404 1100051106 2200102212