Search a number
-
+
2331313320 = 2335716716619
BaseRepresentation
bin1000101011110101…
…0000010010101000
320000110202222122210
42022331100102220
514233304011240
61023200045120
7111525556560
oct21275202250
96013688583
102331313320
11a96a69226
125509037a0
132b1cb9b4b
1418189dda0
15d9a09780
hex8af504a8

2331313320 has 128 divisors (see below), whose sum is σ = 8041420800. Its totient is φ = 529648896.

The previous prime is 2331313297. The next prime is 2331313333. The reversal of 2331313320 is 233131332.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131971 + ... + 148589.

It is an arithmetic number, because the mean of its divisors is an integer number (62823600).

Almost surely, 22331313320 is an apocalyptic number.

2331313320 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 2331313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020710400).

2331313320 is an abundant number, since it is smaller than the sum of its proper divisors (5710107480).

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

2331313320 is a wasteful number, since it uses less digits than its factorization.

2331313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16807 (or 16803 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 2331313320 is about 48283.6755021819. The cubic root of 2331313320 is about 1325.9695421936.

Adding to 2331313320 its reverse (233131332), we get a palindrome (2564444652).

The spelling of 2331313320 in words is "two billion, three hundred thirty-one million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 167 168 210 280 334 420 501 668 835 840 1002 1169 1336 1670 2004 2338 2505 3340 3507 4008 4676 5010 5845 6680 7014 9352 10020 11690 14028 16619 17535 20040 23380 28056 33238 35070 46760 49857 66476 70140 83095 99714 116333 132952 140280 166190 199428 232666 249285 332380 348999 398856 465332 498570 581665 664760 697998 930664 997140 1163330 1395996 1744995 1994280 2326660 2775373 2791992 3489990 4653320 5550746 6979980 8326119 11101492 13876865 13959960 16652238 19427611 22202984 27753730 33304476 38855222 41630595 55507460 58282833 66608952 77710444 83261190 97138055 111014920 116565666 155420888 166522380 194276110 233131332 291414165 333044760 388552220 466262664 582828330 777104440 1165656660 2331313320