Search a number
-
+
2295031040 = 28510091777
BaseRepresentation
bin1000100011001011…
…0110010100000000
312220221111122201122
42020302312110000
514200011443130
61015422251412
7110605304411
oct21062662400
95827448648
102295031040
11a78537875
12540726b68
132a7625543
1417ab37808
15d673e2e5
hex88cb6500

2295031040 has 72 divisors (see below), whose sum is σ = 5505861480. Its totient is φ = 916586496.

The previous prime is 2295031027. The next prime is 2295031117. The reversal of 2295031040 is 401305922.

It can be written as a sum of positive squares in 4 ways, for example, as 115261696 + 2179769344 = 10736^2 + 46688^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1290632 + ... + 1292408.

Almost surely, 22295031040 is an apocalyptic number.

2295031040 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 2295031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752930740).

2295031040 is an abundant number, since it is smaller than the sum of its proper divisors (3210830440).

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

2295031040 is a wasteful number, since it uses less digits than its factorization.

2295031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2295031040 is about 47906.4822336184. The cubic root of 2295031040 is about 1319.0548483567.

Adding to 2295031040 its reverse (401305922), we get a palindrome (2696336962).

The spelling of 2295031040 in words is "two billion, two hundred ninety-five million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1009 1280 1777 2018 3554 4036 5045 7108 8072 8885 10090 14216 16144 17770 20180 28432 32288 35540 40360 56864 64576 71080 80720 113728 129152 142160 161440 227456 258304 284320 322880 454912 568640 645760 1137280 1291520 1792993 2274560 3585986 7171972 8964965 14343944 17929930 28687888 35859860 57375776 71719720 114751552 143439440 229503104 286878880 459006208 573757760 1147515520 2295031040