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264231140 = 22514938849
BaseRepresentation
bin11111011111111…
…01100011100100
3200102012022222112
433233331203210
51020120344030
642115220152
76355633115
oct1757754344
9612168875
10264231140
11126173848
12745a7658
13429860b4
142714220c
15182e5a95
hexfbfd8e4

264231140 has 24 divisors (see below), whose sum is σ = 555319800. Its totient is φ = 105609728.

The previous prime is 264231137. The next prime is 264231167. The reversal of 264231140 is 41132462.

It can be written as a sum of positive squares in 4 ways, for example, as 6885376 + 257345764 = 2624^2 + 16042^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25436 + ... + 34284.

It is an arithmetic number, because the mean of its divisors is an integer number (23138325).

Almost surely, 2264231140 is an apocalyptic number.

264231140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264231140 is an abundant number, since it is smaller than the sum of its proper divisors (291088660).

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

264231140 is a wasteful number, since it uses less digits than its factorization.

264231140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10351 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 264231140 is about 16255.1880948822. The cubic root of 264231140 is about 641.6940309539.

The spelling of 264231140 in words is "two hundred sixty-four million, two hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1493 2986 5972 7465 8849 14930 17698 29860 35396 44245 88490 176980 13211557 26423114 52846228 66057785 132115570 264231140