Search a number
-
+
23217300810 = 23351143917807
BaseRepresentation
bin10101100111110110…
…111110010101001010
32012221001110002021000
4111213312332111022
5340022112111220
614355455155430
71451226541434
oct254766762512
965831402230
1023217300810
119934619810
1245bb515b76
1322600c3122
1411a36d5654
1590d435390
hex567dbe54a

23217300810 has 128 divisors (see below), whose sum is σ = 67698892800. Its totient is φ = 5615300160.

The previous prime is 23217300793. The next prime is 23217300833. The reversal of 23217300810 is 1800371232.

It is a super-2 number, since 2×232173008102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1294927 + ... + 1312733.

It is an arithmetic number, because the mean of its divisors is an integer number (528897600).

Almost surely, 223217300810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23217300810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33849446400).

23217300810 is an abundant number, since it is smaller than the sum of its proper divisors (44481591990).

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

23217300810 is a wasteful number, since it uses less digits than its factorization.

23217300810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18273 (or 18267 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 23217300810 in words is "twenty-three billion, two hundred seventeen million, three hundred thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 439 495 594 878 990 1317 1485 2195 2634 2970 3951 4390 4829 6585 7902 9658 11853 13170 14487 17807 19755 23706 24145 28974 35614 39510 43461 48290 53421 59265 72435 86922 89035 106842 118530 130383 144870 160263 178070 195877 217305 260766 267105 320526 391754 434610 480789 534210 587631 651915 801315 961578 979385 1175262 1303830 1602630 1762893 1958770 2403945 2938155 3525786 4807890 5288679 5876310 7817273 8814465 10577358 15634546 17628930 23451819 26443395 39086365 46903638 52886790 70355457 78172730 85990003 117259095 140710914 171980006 211066371 234518190 257970009 351777285 422132742 429950015 515940018 703554570 773910027 859900030 1055331855 1289850045 1547820054 2110663710 2321730081 2579700090 3869550135 4643460162 7739100270 11608650405 23217300810