Base | Representation |
---|---|
bin | 110010100000001001000000… |
… | …100101000101101111010000 |
3 | 1002010102121101000211001001221 |
4 | 302200021000211011233100 |
5 | 213103031333141210000 |
6 | 2104220221151534424 |
7 | 64532664121141150 |
oct | 6240110045055720 |
9 | 1063377330731057 |
10 | 222111022210000 |
11 | 64853834684830 |
12 | 20ab272bb2a414 |
13 | 96c1c97019361 |
14 | 3cbc3335a4760 |
15 | 1aa293db1761a |
hex | ca0240945bd0 |
222111022210000 has 800 divisors, whose sum is σ = 688173154099200. Its totient is φ = 67413772800000.
The previous prime is 222111022209991. The next prime is 222111022210001. The reversal of 222111022210000 is 12220111222.
It is a happy number.
It is a super-2 number, since 2×2221110222100002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (222111022210001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7201794580 + ... + 7201825420.
It is an arithmetic number, because the mean of its divisors is an integer number (860216442624).
Almost surely, 2222111022210000 is an apocalyptic number.
222111022210000 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 222111022210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344086577049600).
222111022210000 is an abundant number, since it is smaller than the sum of its proper divisors (466062131889200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222111022210000 is a wasteful number, since it uses less digits than its factorization.
222111022210000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31133 (or 31112 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 222111022210000 its reverse (12220111222), we get a palindrome (222123242321222).
The spelling of 222111022210000 in words is "two hundred twenty-two trillion, one hundred eleven billion, twenty-two million, two hundred ten thousand".
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