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2200202112 = 2739759069
BaseRepresentation
bin1000001100100100…
…0110101110000000
312200100001211220010
42003021012232000
514001222431422
61002153544520
7105344260263
oct20311065600
95610054803
102200202112
11a29a58459
12514a15140
13290aa2654
1416c2d0cda
15cd25bb0c
hex83246b80

2200202112 has 64 divisors (see below), whose sum is σ = 5904637200. Its totient is φ = 725827584.

The previous prime is 2200202111. The next prime is 2200202119. The reversal of 2200202112 is 2112020022.

It is a tau number, because it is divible by the number of its divisors (64).

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 (2200202111) 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 7 ways as a sum of consecutive naturals, for example, 7714 + ... + 66782.

Almost surely, 22200202112 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 2200202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952318600).

2200202112 is an abundant number, since it is smaller than the sum of its proper divisors (3704435088).

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

2200202112 is an equidigital number, since it uses as much as digits as its factorization.

2200202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59183 (or 59171 counting only the distinct ones).

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

The square root of 2200202112 is about 46906.3120699123. The cubic root of 2200202112 is about 1300.6312736831.

Adding to 2200202112 its reverse (2112020022), we get a palindrome (4312222134).

The spelling of 2200202112 in words is "two billion, two hundred million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1164 1552 2328 3104 4656 6208 9312 12416 18624 37248 59069 118138 177207 236276 354414 472552 708828 945104 1417656 1890208 2835312 3780416 5670624 5729693 7560832 11341248 11459386 17189079 22682496 22918772 34378158 45837544 68756316 91675088 137512632 183350176 275025264 366700352 550050528 733400704 1100101056 2200202112