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2305201040 = 24579364747
BaseRepresentation
bin1000100101100110…
…1001001110010000
312221122122100100022
42021121221032100
514210112413130
61020424243012
7111060612512
oct21131511620
95848570308
102305201040
11a8325372a
12544010468
132a97765ac
1417c223bb2
15d759c7e5
hex89669390

2305201040 has 40 divisors (see below), whose sum is σ = 5427450240. Its totient is φ = 910406016.

The previous prime is 2305201021. The next prime is 2305201051. The reversal of 2305201040 is 401025032.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 176054 + ... + 188693.

It is an arithmetic number, because the mean of its divisors is an integer number (135686256).

Almost surely, 22305201040 is an apocalyptic number.

2305201040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305201040 is an abundant number, since it is smaller than the sum of its proper divisors (3122249200).

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

2305201040 is a wasteful number, since it uses less digits than its factorization.

2305201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364839 (or 364833 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2305201040 is about 48012.5092033316. The cubic root of 2305201040 is about 1321.0003589217. Note that the first 3 decimals are identical.

Adding to 2305201040 its reverse (401025032), we get a palindrome (2706226072).

The spelling of 2305201040 in words is "two billion, three hundred five million, two hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 364747 729494 1458988 1823735 2917976 3647470 5835952 7294940 14589880 28815013 29179760 57630026 115260052 144075065 230520104 288150130 461040208 576300260 1152600520 2305201040