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222022022112 = 25331148747969
BaseRepresentation
bin1100111011000110001…
…0110011001111100000
3210020002002121022122000
43032301202303033200
512114200114201422
6245555010244000
722016625023052
oct3166142631740
9706062538560
10222022022112
1186182709380
1237042886600
1317c238b1aa7
14aa62b558d2
155b969a2cac
hex33b18b33e0

222022022112 has 192 divisors, whose sum is σ = 707899046400. Its totient is φ = 67139850240.

The previous prime is 222022022093. The next prime is 222022022119. The reversal of 222022022112 is 211220220222.

222022022112 is a `hidden beast` number, since 2 + 220 + 220 + 221 + 1 + 2 = 666.

222022022112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222022022119) 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 31 ways as a sum of consecutive naturals, for example, 4604464 + ... + 4652432.

It is an arithmetic number, because the mean of its divisors is an integer number (3686974200).

Almost surely, 2222022022112 is an apocalyptic number.

222022022112 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 222022022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353949523200).

222022022112 is an abundant number, since it is smaller than the sum of its proper divisors (485877024288).

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

222022022112 is a wasteful number, since it uses less digits than its factorization.

222022022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48486 (or 48472 counting only the distinct ones).

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

Adding to 222022022112 its reverse (211220220222), we get a palindrome (433242242334).

The spelling of 222022022112 in words is "two hundred twenty-two billion, twenty-two million, twenty-two thousand, one hundred twelve".