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2325541440 = 26352422439
BaseRepresentation
bin1000101010011100…
…1111001001000000
320000001220202010110
42022213033021000
514230314311230
61022432231320
7111425530125
oct21247171100
96001822113
102325541440
11a93786782
1254a99b540
132b0a48931
14180bda74c
15d92694b0
hex8a9cf240

2325541440 has 56 divisors (see below), whose sum is σ = 7383597120. Its totient is φ = 620144128.

The previous prime is 2325541433. The next prime is 2325541441. The reversal of 2325541440 is 441455232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2325541398 and 2325541407.

It is not an unprimeable number, because it can be changed into a prime (2325541441) 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 7 ways as a sum of consecutive naturals, for example, 1210260 + ... + 1212179.

Almost surely, 22325541440 is an apocalyptic number.

2325541440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2325541440 is an abundant number, since it is smaller than the sum of its proper divisors (5058055680).

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

2325541440 is a wasteful number, since it uses less digits than its factorization.

2325541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422459 (or 2422449 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2325541440 is about 48223.8679493879. The cubic root of 2325541440 is about 1324.8743566634.

Adding to 2325541440 its reverse (441455232), we get a palindrome (2766996672).

The spelling of 2325541440 in words is "two billion, three hundred twenty-five million, five hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2422439 4844878 7267317 9689756 12112195 14534634 19379512 24224390 29069268 36336585 38759024 48448780 58138536 72673170 77518048 96897560 116277072 145346340 155036096 193795120 232554144 290692680 387590240 465108288 581385360 775180480 1162770720 2325541440