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235530320 = 2452944129
BaseRepresentation
bin11100000100111…
…10100001010000
3121102012011212012
432002132201100
5440243432240
635212122052
75556655214
oct1602364120
9542164765
10235530320
11110a50463
1266a66328
1339a4756c
14233d0944
1515a26b65
hexe09e850

235530320 has 20 divisors (see below), whose sum is σ = 547608180. Its totient is φ = 94212096.

The previous prime is 235530319. The next prime is 235530341. The reversal of 235530320 is 23035532.

It can be written as a sum of positive squares in 2 ways, for example, as 68293696 + 167236624 = 8264^2 + 12932^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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, 1471985 + ... + 1472144.

It is an arithmetic number, because the mean of its divisors is an integer number (27380409).

Almost surely, 2235530320 is an apocalyptic number.

235530320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235530320 is an abundant number, since it is smaller than the sum of its proper divisors (312077860).

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

235530320 is a wasteful number, since it uses less digits than its factorization.

235530320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944142 (or 2944136 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 23.

The square root of 235530320 is about 15346.9971004102. The cubic root of 235530320 is about 617.5644302181.

Adding to 235530320 its reverse (23035532), we get a palindrome (258565852).

The spelling of 235530320 in words is "two hundred thirty-five million, five hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2944129 5888258 11776516 14720645 23553032 29441290 47106064 58882580 117765160 235530320