Base | Representation |
---|---|
bin | 1100111011110101110… |
… | …1101010011101010000 |
3 | 210020121000220100110112 |
4 | 3032331131222131100 |
5 | 12120102313031000 |
6 | 250030512420452 |
7 | 22024603564565 |
oct | 3167535523520 |
9 | 706530810415 |
10 | 222222002000 |
11 | 86275588209 |
12 | 37099847728 |
13 | 17c5615cb9b |
14 | aa8153086c |
15 | 5ba9306235 |
hex | 33bd76a750 |
222222002000 has 80 divisors (see below), whose sum is σ = 537676171344. Its totient is φ = 88832000000.
The previous prime is 222222001997. The next prime is 222222002029. The reversal of 222222002000 is 200222222.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 5207642896 + 217014359104 = 72164^2 + 465848^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3167300 + ... + 3236700.
Almost surely, 2222222002000 is an apocalyptic number.
222222002000 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 222222002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268838085672).
222222002000 is an abundant number, since it is smaller than the sum of its proper divisors (315454169344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222222002000 is a wasteful number, since it uses less digits than its factorization.
222222002000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 71025 (or 71009 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 14.
Adding to 222222002000 its reverse (200222222), we get a palindrome (222422224222).
The spelling of 222222002000 in words is "two hundred twenty-two billion, two hundred twenty-two million, two thousand".
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