Search a number
-
+
2314873125 = 32541972089
BaseRepresentation
bin1000100111111010…
…0010100100100101
312222022211201221200
42021332202210211
514220101420000
61021411433113
7111236045145
oct21176424445
95868751850
102314873125
11a8875a494
125472b5799
132ab781b16
1417d620925
15d835d500
hex89fa2925

2314873125 has 60 divisors (see below), whose sum is σ = 4201514460. Its totient is φ = 1227744000.

The previous prime is 2314873123. The next prime is 2314873147. The reversal of 2314873125 is 5213784132.

It can be written as a sum of positive squares in 10 ways, for example, as 593701956 + 1721171169 = 24366^2 + 41487^2 .

It is not a de Polignac number, because 2314873125 - 21 = 2314873123 is a prime.

It is a super-3 number, since 3×23148731253 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2314873125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314873123) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1107081 + ... + 1109169.

It is an arithmetic number, because the mean of its divisors is an integer number (70025241).

Almost surely, 22314873125 is an apocalyptic number.

2314873125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2314873125 is a deficient number, since it is larger than the sum of its proper divisors (1886641335).

2314873125 is a wasteful number, since it uses less digits than its factorization.

2314873125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2294 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2314873125 is about 48113.1284058728. The cubic root of 2314873125 is about 1322.8453172782.

The spelling of 2314873125 in words is "two billion, three hundred fourteen million, eight hundred seventy-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 197 225 375 591 625 985 1125 1773 1875 2089 2955 4925 5625 6267 8865 10445 14775 18801 24625 31335 44325 52225 73875 94005 123125 156675 221625 261125 369375 411533 470025 783375 1108125 1234599 1305625 2057665 2350125 3703797 3916875 6172995 10288325 11750625 18518985 30864975 51441625 92594925 154324875 257208125 462974625 771624375 2314873125