Search a number
-
+
2310122320 = 245112238649
BaseRepresentation
bin1000100110110001…
…1010101101010000
312221222220101001221
42021230122231100
514212342403240
61021121534424
7111150500332
oct21154325520
95858811057
102310122320
11a86005100
125457a4414
132aa7aa5ac
1417cb45452
15d7c20a4a
hex89b1ab50

2310122320 has 60 divisors (see below), whose sum is σ = 5903723700. Its totient is φ = 840040960.

The previous prime is 2310122291. The next prime is 2310122383. The reversal of 2310122320 is 232210132.

It can be written as a sum of positive squares in 2 ways, for example, as 397284624 + 1912837696 = 19932^2 + 43736^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2310122294 and 2310122303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109645 + ... + 129004.

It is an arithmetic number, because the mean of its divisors is an integer number (98395395).

Almost surely, 22310122320 is an apocalyptic number.

2310122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2310122320 is an abundant number, since it is smaller than the sum of its proper divisors (3593601380).

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

2310122320 is a wasteful number, since it uses less digits than its factorization.

2310122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238684 (or 238667 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2310122320 is about 48063.7318567753. The cubic root of 2310122320 is about 1321.9397407462.

Adding to 2310122320 its reverse (232210132), we get a palindrome (2542332452).

It can be divided in two parts, 231012 and 2320, that added together give a palindrome (233332).

The spelling of 2310122320 in words is "two billion, three hundred ten million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 238649 477298 954596 1193245 1909192 2386490 2625139 3818384 4772980 5250278 9545960 10500556 13125695 19091920 21001112 26251390 28876529 42002224 52502780 57753058 105005560 115506116 144382645 210011120 231012232 288765290 462024464 577530580 1155061160 2310122320