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2222222112222 = 237219852146687
BaseRepresentation
bin100000010101100110110…
…000100111010111011110
321212102221110221210121220
4200111212300213113132
5242402102330042342
64420512540034210
7316356510202200
oct40254660472736
97772843853556
102222222112222
117874914a3892
122ba821832966
13131729732478
14797b000c770
153cc123065ec
hex20566c275de

2222222112222 has 96 divisors (see below), whose sum is σ = 5442931860480. Its totient is φ = 601420256640.

The previous prime is 2222222112199. The next prime is 2222222112233. The reversal of 2222222112222 is 2222112222222.

2222222112222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22222221122222 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2222222112192 and 2222222112201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47574963 + ... + 47621649.

It is an arithmetic number, because the mean of its divisors is an integer number (56697206880).

Almost surely, 22222222112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222222112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721465930240).

2222222112222 is an abundant number, since it is smaller than the sum of its proper divisors (3220709748258).

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

2222222112222 is a wasteful number, since it uses less digits than its factorization.

2222222112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55246 (or 55239 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

Adding to 2222222112222 its reverse (2222112222222), we get a palindrome (4444334334444).

The spelling of 2222222112222 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 931 1862 2793 5586 8521 17042 25563 46687 51126 59647 93374 119294 140061 161899 178941 280122 323798 326809 357882 417529 485697 653618 835058 887053 971394 980427 1133293 1252587 1774106 1960854 2266586 2287663 2505174 2661159 3399879 4575326 5322318 6209371 6799758 6862989 7933051 12418742 13725978 15866102 18628113 23799153 37256226 43465597 47598306 86931194 130396791 260793582 397819927 795639854 1193459781 2386919562 2784739489 5569478978 7558578613 8354218467 15117157226 16708436934 19493176423 22675735839 38986352846 45351471678 52910050291 58479529269 105820100582 116959058538 158730150873 317460301746 370370352037 740740704074 1111111056111 2222222112222