Base | Representation |
---|---|
bin | 10100110010110001… |
… | …101100111000000000 |
3 | 2010121222200012111010 |
4 | 110302301230320000 |
5 | 331211120214034 |
6 | 14131243120520 |
7 | 1420164020022 |
oct | 246261547000 |
9 | 63558605433 |
10 | 22326726144 |
11 | 9517944898 |
12 | 43b1213140 |
13 | 214a749878 |
14 | 111b310012 |
15 | 8aa16b3e9 |
hex | 532c6ce00 |
22326726144 has 320 divisors, whose sum is σ = 65102476032. Its totient is φ = 6773145600.
The previous prime is 22326726143. The next prime is 22326726151. The reversal of 22326726144 is 44162762322.
It is a super-3 number, since 3×223267261443 (a number of 32 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22326726143) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170432959 + ... + 170433089.
Almost surely, 222326726144 is an apocalyptic number.
22326726144 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 22326726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32551238016).
22326726144 is an abundant number, since it is smaller than the sum of its proper divisors (42775749888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22326726144 is a wasteful number, since it uses less digits than its factorization.
22326726144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 337 (or 321 counting only the distinct ones).
The product of its digits is 193536, while the sum is 39.
The spelling of 22326726144 in words is "twenty-two billion, three hundred twenty-six million, seven hundred twenty-six thousand, one hundred forty-four".
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