Base | Representation |
---|---|
bin | 10100100011111001… |
… | …111111111100001000 |
3 | 2002222121020011011000 |
4 | 110203321333330020 |
5 | 330203233240034 |
6 | 14050411535000 |
7 | 1411044320235 |
oct | 244371777410 |
9 | 62877204130 |
10 | 22077243144 |
11 | 93aa0345a0 |
12 | 434175a460 |
13 | 210ab585a8 |
14 | 10d612a78c |
15 | 8932da599 |
hex | 523e7ff08 |
22077243144 has 128 divisors (see below), whose sum is σ = 67169088000. Its totient is φ = 6663240000.
The previous prime is 22077243143. The next prime is 22077243161. The reversal of 22077243144 is 44134277022.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 22077243099 and 22077243108.
It is not an unprimeable number, because it can be changed into a prime (22077243143) 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, 577867 + ... + 614885.
It is an arithmetic number, because the mean of its divisors is an integer number (524758500).
Almost surely, 222077243144 is an apocalyptic number.
22077243144 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 22077243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33584544000).
22077243144 is an abundant number, since it is smaller than the sum of its proper divisors (45091844856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22077243144 is a wasteful number, since it uses less digits than its factorization.
22077243144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 37296 (or 37286 counting only the distinct ones).
The product of its (nonzero) digits is 75264, while the sum is 36.
The spelling of 22077243144 in words is "twenty-two billion, seventy-seven million, two hundred forty-three thousand, one hundred forty-four".
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