Search a number
-
+
2293270191216 = 243343211158481
BaseRepresentation
bin100001010111110001100…
…011100001110001110000
322010020022221110011121000
4201113301203201301300
5300033104132104331
64513302551002000
7324453241666554
oct41276143416160
98106287404530
102293270191216
11804630268144
1231054b669300
1313834004bbb4
147cdcdcc9864
153e9be9440e6
hex215f18e1c70

2293270191216 has 160 divisors (see below), whose sum is σ = 6738922967040. Its totient is φ = 746279654400.

The previous prime is 2293270191203. The next prime is 2293270191217. The reversal of 2293270191216 is 6121910723922.

2293270191216 is a `hidden beast` number, since 2 + 29 + 327 + 0 + 1 + 91 + 216 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293270191217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 39184696 + ... + 39243176.

It is an arithmetic number, because the mean of its divisors is an integer number (42118268544).

Almost surely, 22293270191216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293270191216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369461483520).

2293270191216 is an abundant number, since it is smaller than the sum of its proper divisors (4445652775824).

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

2293270191216 is a wasteful number, since it uses less digits than its factorization.

2293270191216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60652 (or 60640 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 2293270191216 in words is "two trillion, two hundred ninety-three billion, two hundred seventy million, one hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2111 2322 3096 4222 4644 6192 6333 8444 9288 12666 16888 18576 18999 25332 33776 37998 50664 56997 58481 75996 90773 101328 113994 116962 151992 175443 181546 227988 233924 272319 303984 350886 363092 455976 467848 526329 544638 701772 726184 816957 911952 935696 1052658 1089276 1403544 1452368 1578987 1633914 2105316 2178552 2450871 2514683 2807088 3157974 3267828 4210632 4357104 4901742 5029366 6315948 6535656 7544049 8421264 9803484 10058732 12631896 13071312 15088098 19606968 20117464 22632147 25263792 30176196 39213936 40234928 45264294 60352392 67896441 90528588 120704784 123453391 135792882 181057176 246906782 271585764 362114352 370360173 493813564 543171528 740720346 987627128 1086343056 1111080519 1481440692 1975254256 2222161038 2962881384 3333241557 4444322076 5308495813 5925762768 6666483114 8888644152 10616991626 13332966228 15925487439 17777288304 21233983252 26665932456 31850974878 42467966504 47776462317 53331864912 63701949756 84935933008 95552924634 127403899512 143329386951 191105849268 254807799024 286658773902 382211698536 573317547804 764423397072 1146635095608 2293270191216