Base | Representation |
---|---|
bin | 100000010101011001100… |
… | …010000101110110100000 |
3 | 21212102101000101112211012 |
4 | 200111121202011312200 |
5 | 242401124022413440 |
6 | 4420434531440052 |
7 | 316351144036100 |
oct | 40253142056640 |
9 | 7772330345735 |
10 | 2222000201120 |
11 | 787388205787 |
12 | 2ba77b456028 |
13 | 1316c2775c1b |
14 | 7978c765200 |
15 | 3cbecabee65 |
hex | 20559885da0 |
2222000201120 has 288 divisors, whose sum is σ = 6156487161216. Its totient is φ = 755612928000.
The previous prime is 2222000201117. The next prime is 2222000201129. The reversal of 2222000201120 is 211020002222.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 2222000201095 and 2222000201104.
It is not an unprimeable number, because it can be changed into a prime (2222000201129) 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, 1149507674 + ... + 1149509606.
It is an arithmetic number, because the mean of its divisors is an integer number (21376691532).
Almost surely, 22222000201120 is an apocalyptic number.
2222000201120 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 2222000201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078243580608).
2222000201120 is an abundant number, since it is smaller than the sum of its proper divisors (3934486960096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2222000201120 is a wasteful number, since it uses less digits than its factorization.
2222000201120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3084 (or 3069 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
Adding to 2222000201120 its reverse (211020002222), we get a palindrome (2433020203342).
The spelling of 2222000201120 in words is "two trillion, two hundred twenty-two billion, two hundred one thousand, one hundred twenty".
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