Search a number
-
+
2325885232 = 24113149733
BaseRepresentation
bin1000101010100010…
…0011000100110000
320000002120012201111
42022220203010300
514230411311412
61022443443104
7111431461336
oct21250430460
96002505644
102325885232
11a939a1000
1254ab26494
132b0b39268
14180c89b56
15d92d62a7
hex8aa23130

2325885232 has 80 divisors (see below), whose sum is σ = 4996778400. Its totient is φ = 1048692480.

The previous prime is 2325885223. The next prime is 2325885293.

2325885232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×23258852322 = 10819484224871387648, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3172738 + ... + 3173470.

It is an arithmetic number, because the mean of its divisors is an integer number (62459730).

Almost surely, 22325885232 is an apocalyptic number.

2325885232 is a gapful number since it is divisible by the number (22) 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 2325885232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498389200).

2325885232 is an abundant number, since it is smaller than the sum of its proper divisors (2670893168).

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

2325885232 is a wasteful number, since it uses less digits than its factorization.

2325885232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 895 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 2325885232 is about 48227.4323596021. The cubic root of 2325885232 is about 1324.9396402075.

The spelling of 2325885232 in words is "two billion, three hundred twenty-five million, eight hundred eighty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 149 176 242 298 484 596 733 968 1192 1331 1466 1639 1936 2384 2662 2932 3278 5324 5864 6556 8063 10648 11728 13112 16126 18029 21296 26224 32252 36058 64504 72116 88693 109217 129008 144232 177386 198319 218434 288464 354772 396638 436868 709544 793276 873736 975623 1201387 1419088 1586552 1747472 1951246 2402774 3173104 3902492 4805548 7804984 9611096 13215257 15609968 19222192 26430514 52861028 105722056 145367827 211444112 290735654 581471308 1162942616 2325885232