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2288024093296 = 243137361734469
BaseRepresentation
bin100001010010111000110…
…111010000001001110000
322002201210022222210011001
4201102320313100021300
5244441333131441141
64511034224531344
7324206240621464
oct41227067201160
98081708883131
102288024093296
11802388a52127
1230b526780b54
131379b5215a46
147ca532864a4
153e7b40c9a31
hex214b8dd0270

2288024093296 has 80 divisors (see below), whose sum is σ = 4701160892160. Its totient is φ = 1076857528320.

The previous prime is 2288024093209. The next prime is 2288024093309. The reversal of 2288024093296 is 6923904208822.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66361950 + ... + 66396418.

It is an arithmetic number, because the mean of its divisors is an integer number (58764511152).

Almost surely, 22288024093296 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 2288024093296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350580446080).

2288024093296 is an abundant number, since it is smaller than the sum of its proper divisors (2413136798864).

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

2288024093296 is a wasteful number, since it uses less digits than its factorization.

2288024093296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38162 (or 38156 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 2288024093296 in words is "two trillion, two hundred eighty-eight billion, twenty-four million, ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 248 296 496 592 1147 2294 3617 4588 7234 9176 14468 18352 28936 34469 57872 68938 112127 133829 137876 224254 267658 275752 448508 535316 551504 897016 1068539 1070632 1275353 1794032 2137078 2141264 2550706 4148699 4274156 5101412 8297398 8548312 10202824 16594796 17096624 20405648 33189592 39535943 66379184 79071886 124674373 158143772 249348746 316287544 498697492 632575088 997394984 1994789968 3864905563 4612951801 7729811126 9225903602 15459622252 18451807204 30919244504 36903614408 61838489008 73807228816 143001505831 286003011662 572006023324 1144012046648 2288024093296