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2243174268 = 2232383181541
BaseRepresentation
bin1000010110110100…
…0001111101111100
312210022221001121110
42011231001331330
514043223034033
61010331002020
7106405444446
oct20555017574
95708831543
102243174268
11a51239035
12527299310
13299969c6a
14173cb9496
15d1de9363
hex85b41f7c

2243174268 has 96 divisors (see below), whose sum is σ = 5568256512. Its totient is φ = 701395200.

The previous prime is 2243174267. The next prime is 2243174287. The reversal of 2243174268 is 8624713422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243174267) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4146078 + ... + 4146618.

It is an arithmetic number, because the mean of its divisors is an integer number (58002672).

Almost surely, 22243174268 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 2243174268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784128256).

2243174268 is an abundant number, since it is smaller than the sum of its proper divisors (3325082244).

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

2243174268 is a wasteful number, since it uses less digits than its factorization.

2243174268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 833 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 2243174268 is about 47362.1607192915. The cubic root of 2243174268 is about 1309.0442824284.

The spelling of 2243174268 in words is "two billion, two hundred forty-three million, one hundred seventy-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 83 92 138 166 181 249 276 332 362 498 541 543 724 996 1082 1086 1623 1909 2164 2172 3246 3818 4163 5727 6492 7636 8326 11454 12443 12489 15023 16652 22908 24886 24978 30046 37329 44903 45069 49772 49956 60092 74658 89806 90138 97921 134709 149316 179612 180276 195842 269418 293763 345529 391684 538836 587526 691058 1032769 1036587 1175052 1382116 2065538 2073174 2252183 3098307 4131076 4146348 4504366 6196614 6756549 8127443 9008732 12393228 13513098 16254886 24382329 27026196 32509772 48764658 97529316 186931189 373862378 560793567 747724756 1121587134 2243174268