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2200212012 = 2231723945127
BaseRepresentation
bin1000001100100100…
…1001001000101100
312200100002100110210
42003021021020230
514001223241022
61002154102420
7105344331165
oct20311111054
95610070423
102200212012
11a29a64939
12514a1aa10
13290aa6ccb
1416c2d476c
15cd25ea0c
hex8324922c

2200212012 has 48 divisors (see below), whose sum is σ = 5458682880. Its totient is φ = 687359232.

The previous prime is 2200211999. The next prime is 2200212017. The reversal of 2200212012 is 2102120022.

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 (2200212017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26193 + ... + 71319.

It is an arithmetic number, because the mean of its divisors is an integer number (113722560).

Almost surely, 22200212012 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 2200212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729341440).

2200212012 is an abundant number, since it is smaller than the sum of its proper divisors (3258470868).

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

2200212012 is a wasteful number, since it uses less digits than its factorization.

2200212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45390 (or 45388 counting only the distinct ones).

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

The square root of 2200212012 is about 46906.4175993008. The cubic root of 2200212012 is about 1300.6332244479.

Adding to 2200212012 its reverse (2102120022), we get a palindrome (4302332034).

The spelling of 2200212012 in words is "two billion, two hundred million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 239 478 717 956 1434 2868 4063 8126 12189 16252 24378 45127 48756 90254 135381 180508 270762 541524 767159 1534318 2301477 3068636 4602954 9205908 10785353 21570706 32356059 43141412 64712118 129424236 183351001 366702002 550053003 733404004 1100106006 2200212012