Base | Representation |
---|---|
bin | 100000011110100101000… |
… | …011110110110110101010 |
3 | 21220100210222012221210200 |
4 | 200132211003312312222 |
5 | 243031320430402003 |
6 | 4425145011053030 |
7 | 320150334565500 |
oct | 40364503666652 |
9 | 7810728187720 |
10 | 2231857278378 |
11 | 790586281822 |
12 | 3006705a1176 |
13 | 132603971910 |
14 | 7a045922670 |
15 | 3d0c814a6a3 |
hex | 207a50f6daa |
2231857278378 has 144 divisors (see below), whose sum is σ = 6058920591360. Its totient is φ = 588522376512.
The previous prime is 2231857278377. The next prime is 2231857278419. The reversal of 2231857278378 is 8738727581322.
2231857278378 is a `hidden beast` number, since 2 + 23 + 1 + 8 + 572 + 7 + 8 + 37 + 8 = 666.
2231857278378 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×22318572783783 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (2231857278373) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88952151 + ... + 88977237.
It is an arithmetic number, because the mean of its divisors is an integer number (42075837440).
Almost surely, 22231857278378 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2231857278378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029460295680).
2231857278378 is an abundant number, since it is smaller than the sum of its proper divisors (3827063312982).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231857278378 is a wasteful number, since it uses less digits than its factorization.
2231857278378 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32881 (or 32871 counting only the distinct ones).
The product of its digits is 63221760, while the sum is 63.
The spelling of 2231857278378 in words is "two trillion, two hundred thirty-one billion, eight hundred fifty-seven million, two hundred seventy-eight thousand, three hundred seventy-eight".
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