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2202202022112 = 253324171054549
BaseRepresentation
bin100000000010111101011…
…110000010000011100000
321210112021020121211221000
4200002331132002003200
5242040102204201422
64403402212032000
7315050422222431
oct40027536020340
97715236554830
102202202022112
11779a486a2874
122b6975002600
1312c888b423c1
14788311b7488
153c43e91ccac
hex200bd7820e0

2202202022112 has 96 divisors (see below), whose sum is σ = 6425752788000. Its totient is φ = 733762934784.

The previous prime is 2202202022093. The next prime is 2202202022143. The reversal of 2202202022112 is 2112202022022.

2202202022112 is a `hidden beast` number, since 220 + 220 + 2 + 0 + 221 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561014 + ... + 2615562.

It is an arithmetic number, because the mean of its divisors is an integer number (66934924875).

Almost surely, 22202202022112 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 2202202022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212876394000).

2202202022112 is an abundant number, since it is smaller than the sum of its proper divisors (4223550765888).

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

2202202022112 is a wasteful number, since it uses less digits than its factorization.

2202202022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056985 (or 1056971 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2202202022112 its reverse (2112202022022), we get a palindrome (4314404044134).

The spelling of 2202202022112 in words is "two trillion, two hundred two billion, two hundred two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2417 4834 7251 9668 14502 19336 21753 29004 38672 43506 58008 65259 77344 87012 116016 130518 174024 232032 261036 348048 522072 696096 1044144 1054549 2088288 2109098 3163647 4218196 6327294 8436392 9490941 12654588 16872784 18981882 25309176 28472823 33745568 37963764 50618352 56945646 75927528 101236704 113891292 151855056 227782584 303710112 455565168 911130336 2548844933 5097689866 7646534799 10195379732 15293069598 20390759464 22939604397 30586139196 40781518928 45879208794 61172278392 68818813191 81563037856 91758417588 122344556784 137637626382 183516835176 244689113568 275275252764 367033670352 550550505528 734067340704 1101101011056 2202202022112