Base | Representation |
---|---|
bin | 110111111110110101… |
… | …1000001110011011110 |
3 | 102111022100012101222000 |
4 | 1233331223001303132 |
5 | 3432202312012342 |
6 | 131121152303130 |
7 | 11454110261523 |
oct | 1577553016336 |
9 | 374270171860 |
10 | 120220032222 |
11 | 46a9208a634 |
12 | 1b371541aa6 |
13 | b44b966654 |
14 | 5b6666114a |
15 | 31d946a44c |
hex | 1bfdac1cde |
120220032222 has 64 divisors (see below), whose sum is σ = 272954880000. Its totient is φ = 39204177120.
The previous prime is 120220032211. The next prime is 120220032227. The reversal of 120220032222 is 222230022021.
120220032222 is a `hidden beast` number, since 120 + 2 + 200 + 322 + 22 = 666.
It is a super-2 number, since 2×1202200322222 (a number of 23 digits) contains 22 as substring.
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 = 120220032195 and 120220032204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (120220032227) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6968347 + ... + 6985577.
It is an arithmetic number, because the mean of its divisors is an integer number (4264920000).
Almost surely, 2120220032222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 120220032222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136477440000).
120220032222 is an abundant number, since it is smaller than the sum of its proper divisors (152734847778).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120220032222 is a wasteful number, since it uses less digits than its factorization.
120220032222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20038 (or 20032 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 120220032222 its reverse (222230022021), we get a palindrome (342450054243).
The spelling of 120220032222 in words is "one hundred twenty billion, two hundred twenty million, thirty-two thousand, two hundred twenty-two".
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