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2243866752 = 27332328229
BaseRepresentation
bin1000010110111110…
…1011000010000000
312210101020020112000
42011233223002000
514043412214002
61010353504000
7106414360401
oct20557530200
95711206460
102243866752
11a51671336
12527572000
13299b5020a
141740199a8
15d1ed461c
hex85beb080

2243866752 has 128 divisors (see below), whose sum is σ = 6910704000. Its totient is φ = 715410432.

The previous prime is 2243866727. The next prime is 2243866763. The reversal of 2243866752 is 2576683422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2243866698 and 2243866707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65374 + ... + 93602.

It is an arithmetic number, because the mean of its divisors is an integer number (53989875).

Almost surely, 22243866752 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 2243866752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455352000).

2243866752 is an abundant number, since it is smaller than the sum of its proper divisors (4666837248).

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

2243866752 is a wasteful number, since it uses less digits than its factorization.

2243866752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28275 (or 28257 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2243866752 is about 47369.4706746867. The cubic root of 2243866752 is about 1309.1789723586.

The spelling of 2243866752 in words is "two billion, two hundred forty-three million, eight hundred sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1104 1152 1242 1472 1656 1728 2208 2484 2944 3312 3456 4416 4968 6624 8832 9936 13248 19872 26496 28229 39744 56458 79488 84687 112916 169374 225832 254061 338748 451664 508122 649267 677496 762183 903328 1016244 1298534 1354992 1524366 1806656 1947801 2032488 2597068 2709984 3048732 3613312 3895602 4064976 5194136 5419968 5843403 6097464 7791204 8129952 10388272 10839936 11686806 12194928 15582408 16259904 17530209 20776544 23373612 24389856 31164816 32519808 35060418 41553088 46747224 48779712 62329632 70120836 83106176 93494448 97559424 124659264 140241672 186988896 249318528 280483344 373977792 560966688 747955584 1121933376 2243866752