Search a number
-
+
2325078180 = 2232571181931
BaseRepresentation
bin1000101010010101…
…1110000010100100
320000001001012122200
42022211132002210
514230210000210
61022414254500
7111421560405
oct21245360244
96001035580
102325078180
11a9349a717
1254a7b7430
132b0915b09
14180b199ac
15d91c70c0
hex8a95e0a4

2325078180 has 72 divisors (see below), whose sum is σ = 7152110784. Its totient is φ = 611284800.

The previous prime is 2325078167. The next prime is 2325078181. The reversal of 2325078180 is 818705232.

It is a super-2 number, since 2×23250781802 = 10811977086224224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2325078181) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 78186 + ... + 103745.

It is an arithmetic number, because the mean of its divisors is an integer number (99334872).

Almost surely, 22325078180 is an apocalyptic number.

2325078180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2325078180 is an abundant number, since it is smaller than the sum of its proper divisors (4827032604).

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

2325078180 is a wasteful number, since it uses less digits than its factorization.

2325078180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182017 (or 182012 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2325078180 is about 48219.0644869848. The cubic root of 2325078180 is about 1324.7863768575.

The spelling of 2325078180 in words is "two billion, three hundred twenty-five million, seventy-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 181931 363862 545793 727724 909655 1091586 1637379 1819310 2183172 2728965 3274758 3638620 5457930 6549516 8186895 10915860 12917101 16373790 25834202 32747580 38751303 51668404 64585505 77502606 116253909 129171010 155005212 193756515 232507818 258342020 387513030 465015636 581269545 775026060 1162539090 2325078180