Search a number
-
+
233213022300 = 2235261103123727
BaseRepresentation
bin1101100100110010010…
…1000101000001011100
3211021222000110000212110
43121030211011001130
512310110013203200
6255045300234020
722564143660546
oct3311445050134
9737860400773
10233213022300
118a9a5742465
123924669b910
1318cb82621ab
14b405144696
1560ee1beb50
hex364c94505c

233213022300 has 144 divisors (see below), whose sum is σ = 692488788992. Its totient is φ = 60576249600.

The previous prime is 233213022299. The next prime is 233213022313. The reversal of 233213022300 is 3220312332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1823037 + ... + 1946763.

Almost surely, 2233213022300 is an apocalyptic number.

233213022300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233213022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346244394496).

233213022300 is an abundant number, since it is smaller than the sum of its proper divisors (459275766692).

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

233213022300 is a wasteful number, since it uses less digits than its factorization.

233213022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123908 (or 123901 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 233213022300 its reverse (3220312332), we get a palindrome (236433334632).

The spelling of 233213022300 in words is "two hundred thirty-three billion, two hundred thirteen million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 103 122 150 183 206 244 300 305 309 366 412 515 610 618 732 915 1030 1220 1236 1525 1545 1830 2060 2575 3050 3090 3660 4575 5150 6100 6180 6283 7725 9150 10300 12566 15450 18300 18849 25132 30900 31415 37698 62830 75396 94245 123727 125660 157075 188490 247454 314150 371181 376980 471225 494908 618635 628300 742362 942450 1237270 1484724 1855905 1884900 2474540 3093175 3711810 6186350 7423620 7547347 9279525 12372700 12743881 15094694 18559050 22642041 25487762 30189388 37118100 37736735 38231643 45284082 50975524 63719405 75473470 76463286 90568164 113210205 127438810 150946940 152926572 188683675 191158215 226420410 254877620 318597025 377367350 382316430 452840820 566051025 637194050 754734700 764632860 777376741 955791075 1132102050 1274388100 1554753482 1911582150 2264204100 2332130223 3109506964 3823164300 3886883705 4664260446 7773767410 9328520892 11660651115 15547534820 19434418525 23321302230 38868837050 46642604460 58303255575 77737674100 116606511150 233213022300