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2331050240 = 2855334361
BaseRepresentation
bin1000101011110001…
…0000000100000000
320000110021121210002
42022330100010000
514233222101430
61023150255132
7111523412561
oct21274200400
96013247702
102331050240
11a968a9602
125507b74a8
132b1c2718c
14181832168
15d99a6845
hex8af10100

2331050240 has 72 divisors (see below), whose sum is σ = 5689110168. Its totient is φ = 914800640.

The previous prime is 2331050179. The next prime is 2331050257. The reversal of 2331050240 is 420501332.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 767954944 + 1563095296 = 27712^2 + 39536^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50660 + ... + 85020.

It is an arithmetic number, because the mean of its divisors is an integer number (79015419).

Almost surely, 22331050240 is an apocalyptic number.

2331050240 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 2331050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844555084).

2331050240 is an abundant number, since it is smaller than the sum of its proper divisors (3358059928).

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

2331050240 is an equidigital number, since it uses as much as digits as its factorization.

2331050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34435 (or 34421 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2331050240 is about 48280.9511091072. The cubic root of 2331050240 is about 1325.9196634140.

Adding to 2331050240 its reverse (420501332), we get a palindrome (2751551572).

The spelling of 2331050240 in words is "two billion, three hundred thirty-one million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 530 640 848 1060 1280 1696 2120 3392 4240 6784 8480 13568 16960 33920 34361 67840 68722 137444 171805 274888 343610 549776 687220 1099552 1374440 1821133 2199104 2748880 3642266 4398208 5497760 7284532 8796416 9105665 10995520 14569064 18211330 21991040 29138128 36422660 43982080 58276256 72845320 116552512 145690640 233105024 291381280 466210048 582762560 1165525120 2331050240