Base | Representation |
---|---|
bin | 10101010101111100… |
… | …001110111001010000 |
3 | 2012011002210110001100 |
4 | 111111330032321100 |
5 | 333413133030423 |
6 | 14310000104400 |
7 | 1440616434540 |
oct | 252574167120 |
9 | 65132713040 |
10 | 22916689488 |
11 | 979a968000 |
12 | 4536905100 |
13 | 2212a3ccc4 |
14 | 1175803320 |
15 | 8e1d55343 |
hex | 555f0ee50 |
22916689488 has 960 divisors, whose sum is σ = 90622771200. Its totient is φ = 5269017600.
The previous prime is 22916689463. The next prime is 22916689489. The reversal of 22916689488 is 88498661922.
22916689488 is a `hidden beast` number, since 2 + 2 + 91 + 6 + 68 + 9 + 488 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22916689489) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 739248033 + ... + 739248063.
It is an arithmetic number, because the mean of its divisors is an integer number (94398720).
Almost surely, 222916689488 is an apocalyptic number.
22916689488 is a gapful number since it is divisible by the number (28) 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 22916689488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45311385600).
22916689488 is an abundant number, since it is smaller than the sum of its proper divisors (67706081712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22916689488 is a wasteful number, since it uses less digits than its factorization.
22916689488 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 133 (or 102 counting only the distinct ones).
The product of its digits is 23887872, while the sum is 63.
The spelling of 22916689488 in words is "twenty-two billion, nine hundred sixteen million, six hundred eighty-nine thousand, four hundred eighty-eight".
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