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23214144330 = 232513191044271
BaseRepresentation
bin10101100111101010…
…111011101101001010
32012220211111201101100
4111213222323231022
5340020310104310
614355303402230
71451160654036
oct254752735512
965824451340
1023214144330
119932863253
1245ba453376
13225c5594a0
1411a31131c6
1590d00eec0
hex567abbb4a

23214144330 has 96 divisors (see below), whose sum is σ = 68420701440. Its totient is φ = 5413495680.

The previous prime is 23214144293. The next prime is 23214144337. The reversal of 23214144330 is 3344141232.

23214144330 is a `hidden beast` number, since 2 + 3 + 214 + 1 + 443 + 3 + 0 = 666.

It is a super-2 number, since 2×232141443302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23214144294 and 23214144303.

It is not an unprimeable number, because it can be changed into a prime (23214144337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499906 + ... + 544365.

It is an arithmetic number, because the mean of its divisors is an integer number (712715640).

Almost surely, 223214144330 is an apocalyptic number.

23214144330 is an abundant number, since it is smaller than the sum of its proper divisors (45206557110).

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

23214144330 is a wasteful number, since it uses less digits than its factorization.

23214144330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044316 (or 1044313 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23214144330 its reverse (3344141232), we get a palindrome (26558285562).

The spelling of 23214144330 in words is "twenty-three billion, two hundred fourteen million, one hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1710 2223 2470 3705 4446 7410 11115 22230 1044271 2088542 3132813 5221355 6265626 9398439 10442710 13575523 15664065 18796878 19841149 27151046 31328130 39682298 40726569 46992195 59523447 67877615 81453138 93984390 99205745 119046894 122179707 135755230 178570341 198411490 203632845 244359414 257934937 297617235 357140682 407265690 515869874 595234470 610898535 773804811 892851705 1221797070 1289674685 1547609622 1785703410 2321414433 2579349370 3869024055 4642828866 7738048110 11607072165 23214144330