Search a number
-
+
23330300240 = 24513231974951
BaseRepresentation
bin10101101110100110…
…000010000101010000
32020012221002001100002
4111232212002011100
5340240024101430
614415013145132
71454101165022
oct255646020520
966187061302
1023330300240
119992389975
12463132b1a8
13227a6387b0
1411b470c012
15918306845
hex56e982150

23330300240 has 160 divisors (see below), whose sum is σ = 61277078016. Its totient is φ = 8196249600.

The previous prime is 23330300209. The next prime is 23330300281. The reversal of 23330300240 is 4200303332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 4709765 + ... + 4714715.

Almost surely, 223330300240 is an apocalyptic number.

23330300240 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 23330300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30638539008).

23330300240 is an abundant number, since it is smaller than the sum of its proper divisors (37946777776).

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

23330300240 is a wasteful number, since it uses less digits than its factorization.

23330300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 23330300240 its reverse (4200303332), we get a palindrome (27530603572).

The spelling of 23330300240 in words is "twenty-three billion, three hundred thirty million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 197 208 230 260 299 368 394 460 520 598 788 920 985 1040 1196 1495 1576 1840 1970 2392 2561 2990 3152 3940 4531 4784 4951 5122 5980 7880 9062 9902 10244 11960 12805 15760 18124 19804 20488 22655 23920 24755 25610 36248 39608 40976 45310 49510 51220 58903 64363 72496 79216 90620 99020 102440 113873 117806 128726 181240 198040 204880 227746 235612 257452 294515 321815 362480 396080 455492 471224 514904 569365 589030 643630 910984 942448 975347 1029808 1138730 1178060 1287260 1480349 1821968 1950694 2277460 2356120 2574520 2960698 3901388 4554920 4712240 4876735 5149040 5921396 7401745 7802776 9109840 9753470 11842792 12679511 14803490 15605552 19506940 22432981 23685584 25359022 29606980 39013880 44865962 50718044 59213960 63397555 78027760 89731924 101436088 112164905 118427920 126795110 179463848 202872176 224329810 253590220 291628753 358927696 448659620 507180440 583257506 897319240 1014360880 1166515012 1458143765 1794638480 2333030024 2916287530 4666060048 5832575060 11665150120 23330300240