Base | Representation |
---|---|
bin | 10100100111001111… |
… | …111000001011000000 |
3 | 2010010111201122121120 |
4 | 110213033320023000 |
5 | 330312111411034 |
6 | 14100133352240 |
7 | 1412325014001 |
oct | 244717701300 |
9 | 63114648546 |
10 | 22133310144 |
11 | 9428749560 |
12 | 4358498680 |
13 | 211965932a |
14 | 10dd7631a8 |
15 | 8981b2c49 |
hex | 5273f82c0 |
22133310144 has 112 divisors (see below), whose sum is σ = 63934116480. Its totient is φ = 6701885440.
The previous prime is 22133310137. The next prime is 22133310161. The reversal of 22133310144 is 44101333122.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3416092 + ... + 3422564.
Almost surely, 222133310144 is an apocalyptic number.
22133310144 is a gapful number since it is divisible by the number (24) 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 22133310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31967058240).
22133310144 is an abundant number, since it is smaller than the sum of its proper divisors (41800806336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22133310144 is a wasteful number, since it uses less digits than its factorization.
22133310144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8118 (or 8108 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
Adding to 22133310144 its reverse (44101333122), we get a palindrome (66234643266).
The spelling of 22133310144 in words is "twenty-two billion, one hundred thirty-three million, three hundred ten thousand, one hundred forty-four".
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