| Base | Representation |
|---|---|
| bin | 11101001000101101101… |
| … | …110110010111101010000 |
| 3 | 21002102002021221020200110 |
| 4 | 131020231232302331100 |
| 5 | 230301022313031000 |
| 6 | 4131450314121320 |
| 7 | 264440633132013 |
| oct | 35105556627520 |
| 9 | 7072067836613 |
| 10 | 2002222002000 |
| 11 | 702157138880 |
| 12 | 284064120240 |
| 13 | 116a689ca45c |
| 14 | 6cc9da1737a |
| 15 | 371380e3850 |
| hex | 1d22dbb2f50 |
2002222002000 has 640 divisors, whose sum is σ = 7319051550720. Its totient is φ = 466448640000.
The previous prime is 2002222001999. The next prime is 2002222002007. The reversal of 2002222002000 is 2002222002.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2002222002007) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 426819655 + ... + 426824345.
It is an arithmetic number, because the mean of its divisors is an integer number (11436018048).
Almost surely, 22002222002000 is an apocalyptic number.
2002222002000 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 2002222002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659525775360).
2002222002000 is an abundant number, since it is smaller than the sum of its proper divisors (5316829548720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002222002000 is a wasteful number, since it uses less digits than its factorization.
2002222002000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4980 (or 4964 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 12.
Adding to 2002222002000 its reverse (2002222002), we get a palindrome (2004224224002).
2002222002000 divided by its reverse (2002222002) gives a cube (1000 = 103).
It can be divided in two parts, 20022 and 22002000, that added together give a palindrome (22022022).
The spelling of 2002222002000 in words is "two trillion, two billion, two hundred twenty-two million, two thousand".
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