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230452240 = 2457339461
BaseRepresentation
bin11011011110001…
…10110000010000
3121001122012001011
431233012300100
5432443432430
634511220304
75465545264
oct1557066020
9531565034
10230452240
111090a21a7
1265217694
133898a095
142286c0a4
151537222a
hexdbc6c10

230452240 has 40 divisors (see below), whose sum is σ = 543154968. Its totient is φ = 90915840.

The previous prime is 230452223. The next prime is 230452247. The reversal of 230452240 is 42254032.

It can be written as a sum of positive squares in 4 ways, for example, as 14714896 + 215737344 = 3836^2 + 14688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×2304522404 (a number of 35 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (230452247) 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, 13891 + ... + 25570.

Almost surely, 2230452240 is an apocalyptic number.

230452240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230452240 is an abundant number, since it is smaller than the sum of its proper divisors (312702728).

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

230452240 is a wasteful number, since it uses less digits than its factorization.

230452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39547 (or 39541 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 230452240 is about 15180.6534773705. The cubic root of 230452240 is about 613.0938757523.

The spelling of 230452240 in words is "two hundred thirty million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 39461 78922 157844 197305 315688 394610 631376 789220 1578440 2880653 3156880 5761306 11522612 14403265 23045224 28806530 46090448 57613060 115226120 230452240