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2200104012 = 2231925737547
BaseRepresentation
bin1000001100100010…
…1110110001001100
312200022212212022210
42003020232301030
514001211312022
61002151510420
7105343401261
oct20310566114
95608785283
102200104012
11a299a0787
12514988410
13290a69ac2
1416c2a7268
15cd23ca0c
hex8322ec4c

2200104012 has 48 divisors (see below), whose sum is σ = 5424935040. Its totient is φ = 692047872.

The previous prime is 2200103929. The next prime is 2200104013. The reversal of 2200104012 is 2104010022.

It is a super-2 number, since 2×22001040122 = 9680915327236992288, which contains 22 as substring.

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 (2200104013) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39823 + ... + 77369.

It is an arithmetic number, because the mean of its divisors is an integer number (113019480).

Almost surely, 22200104012 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 2200104012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712467520).

2200104012 is an abundant number, since it is smaller than the sum of its proper divisors (3224831028).

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

2200104012 is a wasteful number, since it uses less digits than its factorization.

2200104012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37830 (or 37828 counting only the distinct ones).

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

The square root of 2200104012 is about 46905.2663567749. The cubic root of 2200104012 is about 1300.6119430613.

Adding to 2200104012 its reverse (2104010022), we get a palindrome (4304114034).

The spelling of 2200104012 in words is "two billion, two hundred million, one hundred four thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 257 514 771 1028 1542 3084 4883 9766 14649 19532 29298 37547 58596 75094 112641 150188 225282 450564 713393 1426786 2140179 2853572 4280358 8560716 9649579 19299158 28948737 38598316 57897474 115794948 183342001 366684002 550026003 733368004 1100052006 2200104012