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223133323312 = 24295346319597
BaseRepresentation
bin1100111111001111001…
…0000101000000110000
3210022221112201021021201
43033303302011000300
512123434112321222
6250301145300544
722056310645204
oct3176362050060
9708845637251
10223133323312
11866a2a42419
12372b2a94754
131806cbbb673
14ab2a596b04
155c0e31c427
hex33f3c85030

223133323312 has 80 divisors (see below), whose sum is σ = 456674163840. Its totient is φ = 105453444096.

The previous prime is 223133323289. The next prime is 223133323327. The reversal of 223133323312 is 213323331322.

It is a super-3 number, since 3×2231333233123 (a number of 35 digits) contains 333 as substring.

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, 11376298 + ... + 11395894.

It is an arithmetic number, because the mean of its divisors is an integer number (5708427048).

Almost surely, 2223133323312 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 223133323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228337081920).

223133323312 is an abundant number, since it is smaller than the sum of its proper divisors (233540840528).

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

223133323312 is a wasteful number, since it uses less digits than its factorization.

223133323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20150 (or 20144 counting only the distinct ones).

The product of its digits is 11664, while the sum is 28.

Adding to 223133323312 its reverse (213323331322), we get a palindrome (436456654634).

The spelling of 223133323312 in words is "two hundred twenty-three billion, one hundred thirty-three million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 463 464 848 926 1537 1852 3074 3704 6148 7408 12296 13427 19597 24539 24592 26854 39194 49078 53708 78388 98156 107416 156776 196312 214832 313552 392624 568313 711631 1038641 1136626 1423262 2077282 2273252 2846524 4154564 4546504 5693048 8309128 9073411 9093008 11386096 16618256 18146822 30120589 36293644 60241178 72587288 120482356 145174576 240964712 263128919 480890783 481929424 526257838 961781566 1052515676 1923563132 2105031352 3847126264 4210062704 7694252528 13945832707 27891665414 55783330828 111566661656 223133323312