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23201132240 = 24511132388177
BaseRepresentation
bin10101100110111001…
…010010111011010000
32012212221000122011002
4111212321102323100
5340003442212430
614354120441132
71450642240646
oct254671227320
965787018132
1023201132240
119926486060
1245b60191a8
132259951920
1411a14c7196
1590bcde845
hex566e52ed0

23201132240 has 160 divisors (see below), whose sum is σ = 66129267456. Its totient is φ = 7449108480.

The previous prime is 23201132239. The next prime is 23201132299. The reversal of 23201132240 is 4223110232.

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, 219032 + ... + 307208.

Almost surely, 223201132240 is an apocalyptic number.

23201132240 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 23201132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33064633728).

23201132240 is an abundant number, since it is smaller than the sum of its proper divisors (42928135216).

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

23201132240 is a wasteful number, since it uses less digits than its factorization.

23201132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88237 (or 88231 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23201132240 its reverse (4223110232), we get a palindrome (27424242472).

The spelling of 23201132240 in words is "twenty-three billion, two hundred one million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 23 26 40 44 46 52 55 65 80 88 92 104 110 115 130 143 176 184 208 220 230 253 260 286 299 368 440 460 506 520 572 598 715 880 920 1012 1040 1144 1196 1265 1430 1495 1840 2024 2288 2392 2530 2860 2990 3289 4048 4784 5060 5720 5980 6578 10120 11440 11960 13156 16445 20240 23920 26312 32890 52624 65780 88177 131560 176354 263120 352708 440885 705416 881770 969947 1146301 1410832 1763540 1939894 2028071 2292602 3527080 3879788 4056142 4585204 4849735 5731505 7054160 7759576 8112284 9170408 9699470 10140355 11463010 12609311 15519152 16224568 18340816 19398940 20280710 22308781 22926020 25218622 26364923 32449136 38797880 40561420 44617562 45852040 50437244 52729846 63046555 77595760 81122840 89235124 91704080 100874488 105459692 111543905 126093110 131824615 162245680 178470248 201748976 210919384 223087810 252186220 263649230 290014153 356940496 421838768 446175620 504372440 527298460 580028306 892351240 1008744880 1054596920 1160056612 1450070765 1784702480 2109193840 2320113224 2900141530 4640226448 5800283060 11600566120 23201132240