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2202022000112 = 2411163311246809
BaseRepresentation
bin100000000010110010101…
…111010011010111110000
321210111210200212210011112
4200002302233103113300
5242034220113000422
64403332301332452
7315043105113104
oct40026257232760
97714720783145
102202022000112
11779966015660
122b6924867128
1312c85a7614cc
1478815315904
153c42dc0cee2
hex200b2bd35f0

2202022000112 has 80 divisors (see below), whose sum is σ = 4697903957760. Its totient is φ = 991575820800.

The previous prime is 2202022000111. The next prime is 2202022000133. The reversal of 2202022000112 is 2110002202022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202022000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8798564 + ... + 9045372.

It is an arithmetic number, because the mean of its divisors is an integer number (58723799472).

Almost surely, 22202022000112 is an apocalyptic number.

2202022000112 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 2202022000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348951978880).

2202022000112 is an abundant number, since it is smaller than the sum of its proper divisors (2495881957648).

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

2202022000112 is a wasteful number, since it uses less digits than its factorization.

2202022000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247302 (or 247296 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2202022000112 its reverse (2110002202022), we get a palindrome (4312024202134).

The spelling of 2202022000112 in words is "two trillion, two hundred two billion, twenty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 44 88 163 176 311 326 622 652 1244 1304 1793 2488 2608 3421 3586 4976 6842 7172 13684 14344 27368 28688 50693 54736 101386 202772 246809 405544 493618 557623 811088 987236 1115246 1974472 2230492 2714899 3948944 4460984 5429798 8921968 10859596 21719192 40229867 43438384 76757599 80459734 153515198 160919468 307030396 321838936 442528537 614060792 643677872 844333589 885057074 1228121584 1688667178 1770114148 3377334356 3540228296 6754668712 7080456592 12511488637 13509337424 25022977274 50045954548 100091909096 137626375007 200183818192 275252750014 550505500028 1101011000056 2202022000112