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23200116720 = 2435119079689
BaseRepresentation
bin10101100110110101…
…011010111111110000
32012212212010001010020
4111212311122333300
5340003212213340
614354043003440
71450630511154
oct254665327760
965785101106
1023200116720
119925952090
1245b5809580
132259687621
1411a1301064
1590bb8d9d0
hex566d5aff0

23200116720 has 160 divisors (see below), whose sum is σ = 78553186560. Its totient is φ = 5617489920.

The previous prime is 23200116701. The next prime is 23200116727. The reversal of 23200116720 is 2761100232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200116727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2389636 + ... + 2399324.

It is an arithmetic number, because the mean of its divisors is an integer number (490957416).

Almost surely, 223200116720 is an apocalyptic number.

23200116720 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 23200116720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39276593280).

23200116720 is an abundant number, since it is smaller than the sum of its proper divisors (55353069840).

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

23200116720 is a wasteful number, since it uses less digits than its factorization.

23200116720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10623 (or 10617 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 23200116720 its reverse (2761100232), we get a palindrome (25961216952).

The spelling of 23200116720 in words is "twenty-three billion, two hundred million, one hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 907 1320 1814 2640 2721 3628 4535 5442 7256 9070 9689 9977 10884 13605 14512 18140 19378 19954 21768 27210 29067 29931 36280 38756 39908 43536 48445 49885 54420 58134 59862 72560 77512 79816 96890 99770 106579 108840 116268 119724 145335 149655 155024 159632 193780 199540 213158 217680 232536 239448 290670 299310 319737 387560 399080 426316 465072 478896 532895 581340 598620 639474 775120 798160 852632 1065790 1162680 1197240 1278948 1598685 1705264 2131580 2325360 2394480 2557896 3197370 4263160 5115792 6394740 8526320 8787923 12789480 17575846 25578960 26363769 35151692 43939615 52727538 70303384 87879230 96667153 105455076 131818845 140606768 175758460 193334306 210910152 263637690 290001459 351516920 386668612 421820304 483335765 527275380 580002918 703033840 773337224 966671530 1054550760 1160005836 1450007295 1546674448 1933343060 2109101520 2320011672 2900014590 3866686120 4640023344 5800029180 7733372240 11600058360 23200116720