Base | Representation |
---|---|
bin | 1100111011110101101… |
… | …0010001001100111000 |
3 | 210020120222020010210000 |
4 | 3032331122101030320 |
5 | 12120102101041440 |
6 | 250030441353000 |
7 | 22024563200310 |
oct | 3167532211470 |
9 | 706528203700 |
10 | 222221112120 |
11 | 8627502a677 |
12 | 37099498760 |
13 | 17c55c0ab27 |
14 | aa8137c440 |
15 | 5ba91cc730 |
hex | 33bd691338 |
222221112120 has 640 divisors, whose sum is σ = 878771773440. Its totient is φ = 49311037440.
The previous prime is 222221112119. The next prime is 222221112137. The reversal of 222221112120 is 21211122222.
It is a happy number.
222221112120 is a `hidden beast` number, since 222 + 221 + 11 + 212 + 0 = 666.
It is a super-2 number, since 2×2222211121202 (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 = 222221112093 and 222221112102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 186270244 + ... + 186271436.
It is an arithmetic number, because the mean of its divisors is an integer number (1373080896).
Almost surely, 2222221112120 is an apocalyptic number.
222221112120 is a gapful number since it is divisible by the number (20) 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 222221112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439385886720).
222221112120 is an abundant number, since it is smaller than the sum of its proper divisors (656550661320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222221112120 is a wasteful number, since it uses less digits than its factorization.
222221112120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1457 (or 1444 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 222221112120 its reverse (21211122222), we get a palindrome (243432234342).
The spelling of 222221112120 in words is "two hundred twenty-two billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty".
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