Base | Representation |
---|---|
bin | 110010011110110110000111… |
… | …110000100111010010000110 |
3 | 1002010010002122110102000022100 |
4 | 302132312013300213102012 |
5 | 213100102100124200402 |
6 | 2104111301530412530 |
7 | 64523363452530120 |
oct | 6236660760472206 |
9 | 1063102573360270 |
10 | 222022022100102 |
11 | 6481a0134119a4 |
12 | 20a99431b91146 |
13 | 96b67823c6233 |
14 | 3cb7ccd3c6210 |
15 | 1aa048044971c |
hex | c9ed87c27486 |
222022022100102 has 96 divisors (see below), whose sum is σ = 554142810783744. Its totient is φ = 62930253153600.
The previous prime is 222022022100101. The next prime is 222022022100121. The reversal of 222022022100102 is 201001220220222.
222022022100102 is a `hidden beast` number, since 2 + 220 + 220 + 2 + 210 + 0 + 10 + 2 = 666.
222022022100102 is digitally balanced in base 2 and base 4, because in such bases 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 (222022022100101) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198202327 + ... + 199319357.
It is an arithmetic number, because the mean of its divisors is an integer number (5772320945664).
Almost surely, 2222022022100102 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 222022022100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277071405391872).
222022022100102 is an abundant number, since it is smaller than the sum of its proper divisors (332120788683642).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222022022100102 is a wasteful number, since it uses less digits than its factorization.
222022022100102 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1129594 (or 1129591 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 222022022100102 its reverse (201001220220222), we get a palindrome (423023242320324).
The spelling of 222022022100102 in words is "two hundred twenty-two trillion, twenty-two billion, twenty-two million, one hundred thousand, one hundred two".
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