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2263316272 = 24721012283
BaseRepresentation
bin1000011011100111…
…0111011100110000
312211201211101020121
42012321313130300
514113402110042
61012330420024
7110041604500
oct20671673460
95751741217
102263316272
11a61646018
12531b91614
132a0b9cbc9
1417683da00
15d3a77367
hex86e77730

2263316272 has 90 divisors (see below), whose sum is σ = 5170333884. Its totient is φ = 956995200.

The previous prime is 2263316261. The next prime is 2263316273. The reversal of 2263316272 is 2726133622.

It is not an unprimeable number, because it can be changed into a prime (2263316273) 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 17 ways as a sum of consecutive naturals, for example, 7997443 + ... + 7997725.

Almost surely, 22263316272 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 2263316272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585166942).

2263316272 is an abundant number, since it is smaller than the sum of its proper divisors (2907017612).

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

2263316272 is a wasteful number, since it uses less digits than its factorization.

2263316272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 393 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 2263316272 is about 47574.3236630853. The cubic root of 2263316272 is about 1312.9506884834.

Adding to 2263316272 its reverse (2726133622), we get a palindrome (4989449894).

The spelling of 2263316272 in words is "two billion, two hundred sixty-three million, three hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 101 112 196 202 283 392 404 566 707 784 808 1132 1414 1616 1981 2264 2828 3962 4528 4949 5656 7924 9898 10201 11312 13867 15848 19796 20402 27734 28583 31696 39592 40804 55468 57166 71407 79184 81608 110936 114332 142814 163216 200081 221872 228664 285628 400162 457328 499849 571256 800324 999698 1142512 1400567 1600648 1999396 2801134 2886883 3201296 3998792 5602268 5773766 7997584 11204536 11547532 20208181 22409072 23095064 40416362 46190128 80832724 141457267 161665448 282914534 323330896 565829068 1131658136 2263316272