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230131764 = 223218733413
BaseRepresentation
bin11011011011110…
…00100000110100
3121001000220102200
431231320200310
5432403204024
634500304500
75463042042
oct1555704064
9531026380
10230131764
111089a3445
12650a2130
13388a7255
14227c7392
151530c2c9
hexdb78834

230131764 has 36 divisors (see below), whose sum is σ = 582203076. Its totient is φ = 76647168.

The previous prime is 230131753. The next prime is 230131789. The reversal of 230131764 is 467131032.

230131764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 106254864 + 123876900 = 10308^2 + 11130^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65722 + ... + 69134.

Almost surely, 2230131764 is an apocalyptic number.

It is an amenable number.

230131764 is an abundant number, since it is smaller than the sum of its proper divisors (352071312).

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

230131764 is a wasteful number, since it uses less digits than its factorization.

230131764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 230131764 is about 15170.0943965422. The cubic root of 230131764 is about 612.8095463806.

Adding to 230131764 its reverse (467131032), we get a palindrome (697262796).

The spelling of 230131764 in words is "two hundred thirty million, one hundred thirty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1873 3413 3746 5619 6826 7492 10239 11238 13652 16857 20478 22476 30717 33714 40956 61434 67428 122868 6392549 12785098 19177647 25570196 38355294 57532941 76710588 115065882 230131764