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223312031010 = 232519463728163
BaseRepresentation
bin1100111111111001101…
…1110010110100100010
3210100101222222120011100
43033332123302310202
512124320334443020
6250331011455230
722063610641665
oct3177633626442
9710358876140
10223312031010
1186784902132
12373428b7516
131809ac2c273
14ab461d56dc
155c1ed6ca90
hex33fe6f2d22

223312031010 has 96 divisors (see below), whose sum is σ = 611323277760. Its totient is φ = 56401501824.

The previous prime is 223312031009. The next prime is 223312031011. The reversal of 223312031010 is 10130213322.

223312031010 is a `hidden beast` number, since 2 + 2 + 331 + 20 + 310 + 1 + 0 = 666.

223312031010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223312031009) and next prime (223312031011).

It is a super-2 number, since 2×2233120310102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (223312031011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7915189 + ... + 7943351.

It is an arithmetic number, because the mean of its divisors is an integer number (6367950810).

Almost surely, 2223312031010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223312031010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305661638880).

223312031010 is an abundant number, since it is smaller than the sum of its proper divisors (388011246750).

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

223312031010 is a wasteful number, since it uses less digits than its factorization.

223312031010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32832 (or 32829 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 223312031010 its reverse (10130213322), we get a palindrome (233442244332).

The spelling of 223312031010 in words is "two hundred twenty-three billion, three hundred twelve million, thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 4637 9274 13911 23185 27822 28163 41733 46370 56326 69555 83466 84489 88103 139110 140815 168978 176206 208665 253467 264309 281630 417330 422445 440515 506934 528618 535097 792927 844890 881030 1070194 1267335 1321545 1585854 1605291 2534670 2643090 2675485 3210582 3964635 4815873 5350970 7929270 8026455 9631746 16052910 24079365 48158730 130591831 261183662 391775493 652959155 783550986 1175326479 1305918310 1958877465 2350652958 2481244789 3917754930 4962489578 5876632395 7443734367 11753264790 12406223945 14887468734 22331203101 24812447890 37218671835 44662406202 74437343670 111656015505 223312031010