Base | Representation |
---|---|
bin | 1010000110101100011000… |
… | …10100100011110011110000 |
3 | 2220200020021100010120210221 |
4 | 11003112030110203303300 |
5 | 10403024002311201000 |
6 | 115131454514302424 |
7 | 4452233523565300 |
oct | 503261424436360 |
9 | 86606240116727 |
10 | 22220220022000 |
11 | 70975a6a16900 |
12 | 25aa516887a14 |
13 | c52485cb9620 |
14 | 56b6703c9600 |
15 | 287eeb51561a |
hex | 14358c523cf0 |
22220220022000 has 2880 divisors, whose sum is σ = 80192371109760. Its totient is φ = 5875752960000.
The previous prime is 22220220021959. The next prime is 22220220022057. The reversal of 22220220022000 is 22002202222.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 159857697931 + ... + 159857698069.
It is an arithmetic number, because the mean of its divisors is an integer number (27844573302).
Almost surely, 222220220022000 is an apocalyptic number.
22220220022000 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 22220220022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40096185554880).
22220220022000 is an abundant number, since it is smaller than the sum of its proper divisors (57972151087760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22220220022000 is a wasteful number, since it uses less digits than its factorization.
22220220022000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 289 (or 255 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
Adding to 22220220022000 its reverse (22002202222), we get a palindrome (22242222224222).
It can be divided in two parts, 222202 and 20022000, that added together give a palindrome (20244202).
The spelling of 22220220022000 in words is "twenty-two trillion, two hundred twenty billion, two hundred twenty million, twenty-two thousand".
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