| Base | Representation |
|---|---|
| bin | 1100111011000110001… |
| … | …1011111001010010000 |
| 3 | 210020002002221110101112 |
| 4 | 3032301203133022100 |
| 5 | 12114200140431000 |
| 6 | 245555014152452 |
| 7 | 22016626402364 |
| oct | 3166143371220 |
| 9 | 706062843345 |
| 10 | 222022202000 |
| 11 | 86182821545 |
| 12 | 37042952728 |
| 13 | 17c23945931 |
| 14 | aa62ba12a4 |
| 15 | 5b969db235 |
| hex | 33b18df290 |
222022202000 has 160 divisors (see below), whose sum is σ = 558456444000. Its totient is φ = 85268736000.
The previous prime is 222022201979. The next prime is 222022202009. The reversal of 222022202000 is 202220222.
It is a happy number.
222022202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 16 ways, for example, as 221984207104 + 37994896 = 471152^2 + 6164^2 .
It is not an unprimeable number, because it can be changed into a prime (222022202009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10487426 + ... + 10508574.
It is an arithmetic number, because the mean of its divisors is an integer number (3490352775).
Almost surely, 2222022202000 is an apocalyptic number.
222022202000 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 222022202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279228222000).
222022202000 is an abundant number, since it is smaller than the sum of its proper divisors (336434242000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222022202000 is a wasteful number, since it uses less digits than its factorization.
222022202000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21382 (or 21366 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 14.
Adding to 222022202000 its reverse (202220222), we get a palindrome (222224422222).
The spelling of 222022202000 in words is "two hundred twenty-two billion, twenty-two million, two hundred two thousand".
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