Search a number
-
+
2320223112300 = 223529780539901
BaseRepresentation
bin100001110000111000000…
…100110000110001101100
322012210220100010102111110
4201300320010300301230
5301003304104043200
64533521253352020
7326426202022452
oct41607004606154
98183810112443
102320223112300
11815001505735
12315812038610
1313aa47057b02
14804297949d2
154054acc9b50
hex21c38130c6c

2320223112300 has 144 divisors (see below), whose sum is σ = 6783914225312. Its totient is φ = 612209664000.

The previous prime is 2320223112289. The next prime is 2320223112349. The reversal of 2320223112300 is 32113220232.

It is a happy number.

It is a super-2 number, since 2×23202231123002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234337350 + ... + 234347250.

Almost surely, 22320223112300 is an apocalyptic number.

2320223112300 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 2320223112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391957112656).

2320223112300 is an abundant number, since it is smaller than the sum of its proper divisors (4463691113012).

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

2320223112300 is a wasteful number, since it uses less digits than its factorization.

2320223112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18068 (or 18061 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2320223112300 its reverse (32113220232), we get a palindrome (2352336332532).

The spelling of 2320223112300 in words is "two trillion, three hundred twenty billion, two hundred twenty-three million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 970 1164 1455 1940 2425 2910 4850 5820 7275 8053 9700 9901 14550 16106 19802 24159 29100 29703 32212 39604 40265 48318 49505 59406 80530 96636 99010 118812 120795 148515 161060 198020 201325 241590 247525 297030 402650 483180 495050 594060 603975 742575 781141 805300 960397 990100 1207950 1485150 1562282 1920794 2343423 2415900 2881191 2970300 3124564 3841588 3905705 4686846 4801985 5762382 7811410 9373692 9603970 11524764 11717115 14405955 15622820 19207940 19528525 23434230 24009925 28811910 39057050 46868460 48019850 57623820 58585575 72029775 78114100 79732753 96039700 117171150 144059550 159465506 234342300 239198259 288119100 318931012 398663765 478396518 797327530 956793036 1195991295 1594655060 1993318825 2391982590 3986637650 4783965180 5979956475 7734077041 7973275300 11959912950 15468154082 23202231123 23919825900 30936308164 38670385205 46404462246 77340770410 92808924492 116011155615 154681540820 193351926025 232022311230 386703852050 464044622460 580055778075 773407704100 1160111556150 2320223112300