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22330023113310 = 235112332837102367
BaseRepresentation
bin1010001001111000111010…
…00110000111001001011110
32221001201200201000120020120
411010330131012013021132
510411323341404111220
6115254134311455410
74463201534505033
oct504743506071136
987051621016216
1022330023113310
11712a1229a5560
12260785b687566
13c5c9347722c3
14572ac939338a
1528acc61b4a40
hex144f1d18725e

22330023113310 has 128 divisors (see below), whose sum is σ = 58736249155584. Its totient is φ = 5388153154560.

The previous prime is 22330023113291. The next prime is 22330023113317. The reversal of 22330023113310 is 1331132003322.

It is a super-2 number, since 2×223300231133102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22330023113317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218085747 + ... + 218188113.

It is an arithmetic number, because the mean of its divisors is an integer number (458876946528).

Almost surely, 222330023113310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22330023113310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29368124577792).

22330023113310 is an abundant number, since it is smaller than the sum of its proper divisors (36406226042274).

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

22330023113310 is a wasteful number, since it uses less digits than its factorization.

22330023113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105458.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 22330023113310 its reverse (1331132003322), we get a palindrome (23661155116632).

The spelling of 22330023113310 in words is "twenty-two trillion, three hundred thirty billion, twenty-three million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 233 330 466 699 1165 1398 2330 2563 2837 3495 5126 5674 6990 7689 8511 12815 14185 15378 17022 25630 28370 31207 38445 42555 62414 76890 85110 93621 102367 156035 187242 204734 307101 312070 468105 511835 614202 661021 936210 1023670 1126037 1322042 1535505 1983063 2252074 3071010 3305105 3378111 3966126 5630185 6610210 6756222 7271231 9915315 11260370 14542462 16890555 19830630 21813693 23851511 33781110 36356155 43627386 47703022 71554533 72712310 109068465 119257555 143109066 218136930 238515110 262366621 290415179 357772665 524733242 580830358 715545330 787099863 871245537 1311833105 1452075895 1574199726 1742491074 2623666210 2904151790 3194566969 3935499315 4356227685 6389133938 7870998630 8712455370 9583700907 15972834845 19167401814 31945669690 47918504535 67666736707 95837009070 135333473414 203000210121 338333683535 406000420242 676667367070 744334103777 1015001050605 1488668207554 2030002101210 2233002311331 3721670518885 4466004622662 7443341037770 11165011556655 22330023113310