Search a number
-
+
243226338894 = 23371183704771
BaseRepresentation
bin1110001010000101101…
…0110110011001001110
3212020210212021012221000
43202201122312121032
512441111420321034
6303423040321130
723400242524440
oct3424132663116
9766725235830
10243226338894
1194173a22420
123b1800131a6
1319c229329b6
14bab4d72490
1564d830d599
hex38a16b664e

243226338894 has 128 divisors (see below), whose sum is σ = 681993768960. Its totient is φ = 62414431200.

The previous prime is 243226338877. The next prime is 243226338919. The reversal of 243226338894 is 498833622342.

243226338894 is a `hidden beast` number, since 2 + 4 + 3 + 226 + 338 + 89 + 4 = 666.

243226338894 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 243226338894.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7272 + ... + 697499.

It is an arithmetic number, because the mean of its divisors is an integer number (5328076320).

Almost surely, 2243226338894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243226338894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340996884480).

243226338894 is an abundant number, since it is smaller than the sum of its proper divisors (438767430066).

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

243226338894 is a wasteful number, since it uses less digits than its factorization.

243226338894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704883 (or 704877 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 243226338894 in words is "two hundred forty-three billion, two hundred twenty-six million, three hundred thirty-eight thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 83 99 126 154 166 189 198 231 249 297 378 462 498 581 594 693 747 913 1162 1386 1494 1743 1826 2079 2241 2739 3486 4158 4482 5229 5478 6391 8217 10458 12782 15687 16434 19173 24651 31374 38346 49302 57519 115038 172557 345114 704771 1409542 2114313 4228626 4933397 6342939 7752481 9866794 12685878 14800191 15504962 19028817 23257443 29600382 38057634 44400573 46514886 54267367 58495993 69772329 88801146 108534734 116991986 133201719 139544658 162802101 175487979 209316987 266403438 325604202 350975958 409471951 418633974 488406303 526463937 643455923 818943902 976812606 1052927874 1228415853 1286911846 1465218909 1579391811 1930367769 2456831706 2930437818 3158783622 3685247559 3860735538 4504191461 5791103307 7370495118 9008382922 11055742677 11582206614 13512574383 17373309921 22111485354 27025148766 34746619842 40537723149 81075446298 121613169447 243226338894