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23031000240 = 24351716334631
BaseRepresentation
bin10101011100110000…
…010010110010110000
32012110001220000220220
4111130300102302300
5334131414001430
614325202133040
71443505162203
oct253460226260
965401800826
1023031000240
1198494433a6
124569051180
1322306244c1
141186a7b93a
158ebdd5110
hex55cc12cb0

23031000240 has 160 divisors (see below), whose sum is σ = 76061846016. Its totient is φ = 5744701440.

The previous prime is 23031000229. The next prime is 23031000263. The reversal of 23031000240 is 4200013032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647725 + ... + 682355.

Almost surely, 223031000240 is an apocalyptic number.

23031000240 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 23031000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38030923008).

23031000240 is an abundant number, since it is smaller than the sum of its proper divisors (53030845776).

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

23031000240 is a wasteful number, since it uses less digits than its factorization.

23031000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34827 (or 34821 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23031000240 its reverse (4200013032), we get a palindrome (27231013272).

The spelling of 23031000240 in words is "twenty-three billion, thirty-one million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 163 170 204 240 255 272 326 340 408 489 510 652 680 815 816 978 1020 1304 1360 1630 1956 2040 2445 2608 2771 3260 3912 4080 4890 5542 6520 7824 8313 9780 11084 13040 13855 16626 19560 22168 27710 33252 34631 39120 41565 44336 55420 66504 69262 83130 103893 110840 133008 138524 166260 173155 207786 221680 277048 332520 346310 415572 519465 554096 588727 665040 692620 831144 1038930 1177454 1385240 1662288 1766181 2077860 2354908 2770480 2943635 3532362 4155720 4709816 5644853 5887270 7064724 8311440 8830905 9419632 11289706 11774540 14129448 16934559 17661810 22579412 23549080 28224265 28258896 33869118 35323620 45158824 47098160 56448530 67738236 70647240 84672795 90317648 95962501 112897060 135476472 141294480 169345590 191925002 225794120 270952944 287887503 338691180 383850004 451588240 479812505 575775006 677382360 767700008 959625010 1151550012 1354764720 1439437515 1535400016 1919250020 2303100024 2878875030 3838500040 4606200048 5757750060 7677000080 11515500120 23031000240