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2332325440 = 2657288517
BaseRepresentation
bin1000101100000100…
…0111011001000000
320000112200102000201
42023001013121000
514234033403230
61023233454544
7111540303424
oct21301073100
96015612021
102332325440
11a9759a695
12551111454
132b2282733
14181a84b84
15d9b595ca
hex8b047640

2332325440 has 28 divisors (see below), whose sum is σ = 5553850716. Its totient is φ = 932930048.

The previous prime is 2332325417. The next prime is 2332325497. The reversal of 2332325440 is 445232332.

It can be written as a sum of positive squares in 2 ways, for example, as 1309860864 + 1022464576 = 36192^2 + 31976^2 .

It is a super-3 number, since 3×23323254403 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2332325399 and 2332325408.

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 3 ways as a sum of consecutive naturals, for example, 3643939 + ... + 3644578.

Almost surely, 22332325440 is an apocalyptic number.

2332325440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2332325440 is an abundant number, since it is smaller than the sum of its proper divisors (3221525276).

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

2332325440 is an equidigital number, since it uses as much as digits as its factorization.

2332325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7288534 (or 7288524 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 2332325440 is about 48294.1553399581. The cubic root of 2332325440 is about 1326.1614005932.

Adding to 2332325440 its reverse (445232332), we get a palindrome (2777557772).

The spelling of 2332325440 in words is "two billion, three hundred thirty-two million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 7288517 14577034 29154068 36442585 58308136 72885170 116616272 145770340 233232544 291540680 466465088 583081360 1166162720 2332325440