Base | Representation |
---|---|
bin | 1001000001011110… |
… | …1000011011010010 |
3 | 20020210122010210000 |
4 | 2100113220123102 |
5 | 14430030122002 |
6 | 1040202150430 |
7 | 114010425600 |
oct | 22027503322 |
9 | 6223563700 |
10 | 2422114002 |
11 | 1033247110 |
12 | 5771b2416 |
13 | 2c7a5c369 |
14 | 18d978870 |
15 | e299361c |
hex | 905e86d2 |
2422114002 has 120 divisors (see below), whose sum is σ = 6887620080. Its totient is φ = 629097840.
The previous prime is 2422113989. The next prime is 2422114043. The reversal of 2422114002 is 2004112242.
2422114002 is a `hidden beast` number, since 242 + 21 + 1 + 400 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 73449 + ... + 101187.
It is an arithmetic number, because the mean of its divisors is an integer number (57396834).
Almost surely, 22422114002 is an apocalyptic number.
2422114002 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 2422114002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443810040).
2422114002 is an abundant number, since it is smaller than the sum of its proper divisors (4465506078).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2422114002 is a wasteful number, since it uses less digits than its factorization.
2422114002 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27778 (or 27762 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 2422114002 is about 49214.9774154169. The cubic root of 2422114002 is about 1342.9655125448.
Adding to 2422114002 its reverse (2004112242), we get a palindrome (4426226244).
The spelling of 2422114002 in words is "two billion, four hundred twenty-two million, one hundred fourteen thousand, two".
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