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2305248740 = 225373115201
BaseRepresentation
bin1000100101100111…
…0100110111100100
312221122201202202222
42021121310313210
514210120424430
61020425251512
7111061201544
oct21131646744
95848652688
102305248740
11a83286553
12544033b98
132a9792212
1417c237324
15d75ab9e5
hex89674de4

2305248740 has 24 divisors (see below), whose sum is σ = 4971862392. Its totient is φ = 897177600.

The previous prime is 2305248709. The next prime is 2305248749. The reversal of 2305248740 is 478425032.

2305248740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1088076196 + 1217172544 = 32986^2 + 34888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2305248740.

It is not an unprimeable number, because it can be changed into a prime (2305248749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1556861 + ... + 1558340.

It is an arithmetic number, because the mean of its divisors is an integer number (207160933).

Almost surely, 22305248740 is an apocalyptic number.

2305248740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305248740 is an abundant number, since it is smaller than the sum of its proper divisors (2666613652).

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

2305248740 is a wasteful number, since it uses less digits than its factorization.

2305248740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115247 (or 3115245 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 2305248740 is about 48013.0059463058. The cubic root of 2305248740 is about 1321.0094703877.

The spelling of 2305248740 in words is "two billion, three hundred five million, two hundred forty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 3115201 6230402 12460804 15576005 31152010 62304020 115262437 230524874 461049748 576312185 1152624370 2305248740