Search a number
-
+
222112210122 = 2321123372275807
BaseRepresentation
bin1100111011011011101…
…0110101110011001010
3210020022101022100022200
43032312322311303022
512114341211210442
6250011551301030
722022101430625
oct3166672656312
9706271270280
10222112210122
1186219608a20
1237068b1a776
1317c3949b48a
14aa70b10dbc
155b9e86a34c
hex33b6eb5cca

222112210122 has 192 divisors, whose sum is σ = 565199990784. Its totient is φ = 62353653120.

The previous prime is 222112210081. The next prime is 222112210127. The reversal of 222112210122 is 221012211222.

It is a happy number.

222112210122 is a `hidden beast` number, since 222 + 112 + 210 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 222112210095 and 222112210104.

It is not an unprimeable number, because it can be changed into a prime (222112210127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38246143 + ... + 38251949.

It is an arithmetic number, because the mean of its divisors is an integer number (2943749952).

Almost surely, 2222112210122 is an apocalyptic number.

222112210122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222112210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282599995392).

222112210122 is an abundant number, since it is smaller than the sum of its proper divisors (343087780662).

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

222112210122 is a wasteful number, since it uses less digits than its factorization.

222112210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6113 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222112210122 its reverse (221012211222), we get a palindrome (443124421344).

It can be divided in two parts, 222112 and 210122, that added together give a palindrome (432234).

The spelling of 222112210122 in words is "two hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, one hundred twenty-two".