Base | Representation |
---|---|
bin | 11101110000000011101… |
… | …11100110001110010100 |
3 | 10121201120012210201020000 |
4 | 32320001313212032110 |
5 | 113222013243140043 |
6 | 2101335125011300 |
7 | 133565620651302 |
oct | 16700167461624 |
9 | 3551505721200 |
10 | 1022233568148 |
11 | 364588221801 |
12 | 146147b53b30 |
13 | 7551c628c20 |
14 | 37695227272 |
15 | 1b8cd6302d3 |
hex | ee01de6394 |
1022233568148 has 240 divisors, whose sum is σ = 2913630128640. Its totient is φ = 310650391296.
The previous prime is 1022233568141. The next prime is 1022233568149. The reversal of 1022233568148 is 8418653322201.
1022233568148 is a `hidden beast` number, since 1 + 0 + 22 + 23 + 3 + 568 + 1 + 48 = 666.
1022233568148 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10222335681482 (a number of 25 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1022233568141) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115332765 + ... + 115341627.
It is an arithmetic number, because the mean of its divisors is an integer number (12140125536).
Almost surely, 21022233568148 is an apocalyptic number.
1022233568148 is a gapful number since it is divisible by the number (18) 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 1022233568148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456815064320).
1022233568148 is an abundant number, since it is smaller than the sum of its proper divisors (1891396560492).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022233568148 is a wasteful number, since it uses less digits than its factorization.
1022233568148 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9228 (or 9217 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 45.
The spelling of 1022233568148 in words is "one trillion, twenty-two billion, two hundred thirty-three million, five hundred sixty-eight thousand, one hundred forty-eight".
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