Base | Representation |
---|---|
bin | 11101001000101101101… |
… | …011110100010010011110 |
3 | 21002102002020110120101100 |
4 | 131020231223310102132 |
5 | 230301022113033042 |
6 | 4131450245253530 |
7 | 264440623400061 |
oct | 35105553642236 |
9 | 7072066416340 |
10 | 2002221221022 |
11 | 702156755040 |
12 | 284063a042a6 |
13 | 116a687b5b39 |
14 | 6cc9d8928d8 |
15 | 37137edc24c |
hex | 1d22daf449e |
2002221221022 has 96 divisors (see below), whose sum is σ = 4793795136000. Its totient is φ = 598882677120.
The previous prime is 2002221220991. The next prime is 2002221221023. The reversal of 2002221221022 is 2201221222002.
2002221221022 is a `hidden beast` number, since 200 + 2 + 221 + 221 + 0 + 22 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2002221220986 and 2002221221004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2002221221023) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61441129 + ... + 61473707.
It is an arithmetic number, because the mean of its divisors is an integer number (49935366000).
Almost surely, 22002221221022 is an apocalyptic number.
2002221221022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2002221221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396897568000).
2002221221022 is an abundant number, since it is smaller than the sum of its proper divisors (2791573914978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002221221022 is a wasteful number, since it uses less digits than its factorization.
2002221221022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 36606 (or 36603 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 2002221221022 its reverse (2201221222002), we get a palindrome (4203442443024).
It can be divided in two parts, 200 and 2221221022, that added together give a palindrome (2221221222).
The spelling of 2002221221022 in words is "two trillion, two billion, two hundred twenty-one million, two hundred twenty-one thousand, twenty-two".
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