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221222122122 = 23167220780561
BaseRepresentation
bin1100111000000111011…
…1011011001010001010
3210011000100110012010110
43032001313123022022
512111030330401442
6245343353455150
721661043004111
oct3160167331212
9704010405113
10221222122122
1185902136701
1236a5aa114b6
1317b26c655a1
14a9c8814c78
155b4b64a69c
hex3381ddb28a

221222122122 has 16 divisors (see below), whose sum is σ = 445093612992. Its totient is φ = 73299145920.

The previous prime is 221222122091. The next prime is 221222122129. The reversal of 221222122122 is 221221222122.

221222122122 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 2×2212221221222 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (221222122129) 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 7 ways as a sum of consecutive naturals, for example, 110389279 + ... + 110391282.

It is an arithmetic number, because the mean of its divisors is an integer number (27818350812).

Almost surely, 2221222122122 is an apocalyptic number.

221222122122 is an abundant number, since it is smaller than the sum of its proper divisors (223871490870).

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

221222122122 is a wasteful number, since it uses less digits than its factorization.

221222122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220780733.

The product of its digits is 512, while the sum is 21.

Adding to 221222122122 its reverse (221221222122), we get a palindrome (442443344244).

The spelling of 221222122122 in words is "two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 167 334 501 1002 220780561 441561122 662341683 1324683366 36870353687 73740707374 110611061061 221222122122