Search a number
-
+
2246458546422 = 2331923211345053
BaseRepresentation
bin100000101100001011010…
…111010001100011110110
321221202111120002020002000
4200230023113101203312
5243301221341441142
64440001523000130
7321205223404206
oct40541327214366
97852446066060
102246458546422
117967993145a2
12303466509046
13133abca015ac
147aa2cbd2406
153d67ee4c14c
hex20b0b5d18f6

2246458546422 has 128 divisors (see below), whose sum is σ = 5486063385600. Its totient is φ = 678227945472.

The previous prime is 2246458546421. The next prime is 2246458546439.

2246458546422 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 4 + 58 + 546 + 42 + 2 = 666.

2246458546422 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246458546421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49840048 + ... + 49885100.

It is an arithmetic number, because the mean of its divisors is an integer number (42859870200).

Almost surely, 22246458546422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246458546422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743031692800).

2246458546422 is an abundant number, since it is smaller than the sum of its proper divisors (3239604839178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2246458546422 is a wasteful number, since it uses less digits than its factorization.

2246458546422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47219 (or 47213 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 54.

The spelling of 2246458546422 in words is "two trillion, two hundred forty-six billion, four hundred fifty-eight million, five hundred forty-six thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 114 138 171 207 342 414 437 513 621 874 1026 1242 1311 2113 2622 3933 4226 6339 7866 11799 12678 19017 23598 38034 40147 45053 48599 57051 80294 90106 97198 114102 120441 135159 145797 240882 270318 291594 361323 405477 437391 722646 810954 856007 874782 923381 1036219 1083969 1216431 1312173 1712014 1846762 2072438 2167938 2432862 2568021 2624346 2770143 3108657 5136042 5540286 6217314 7704063 8310429 9325971 15408126 16620858 18651942 19688161 23112189 24931287 27977913 39376322 46224378 49862574 55955826 59064483 95196989 118128966 177193449 190393978 285590967 354386898 531580347 571181934 856772901 1063160694 1713545802 1808742791 2189530747 2570318703 3617485582 4379061494 5140637406 5426228373 6568592241 10852456746 13137184482 16278685119 19705776723 32557370238 39411553446 41601084193 48836055357 59117330169 83202168386 97672110714 118234660338 124803252579 249606505158 374409757737 748819515474 1123229273211 2246458546422