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230495328 = 25337231657
BaseRepresentation
bin11011011110100…
…01010001100000
3121001201101011000
431233101101200
5433001322303
634512152000
75466115020
oct1557212140
9531641130
10230495328
11109121608
1265238600
13389a388b
142287da80
151537eda3
hexdbd1460

230495328 has 192 divisors, whose sum is σ = 802206720. Its totient is φ = 62954496.

The previous prime is 230495303. The next prime is 230495329. The reversal of 230495328 is 823594032.

It is a super-3 number, since 3×2304953283 (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230495292 and 230495301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230495329) 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 31 ways as a sum of consecutive naturals, for example, 138276 + ... + 139932.

It is an arithmetic number, because the mean of its divisors is an integer number (4178160).

Almost surely, 2230495328 is an apocalyptic number.

230495328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230495328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401103360).

230495328 is an abundant number, since it is smaller than the sum of its proper divisors (571711392).

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

230495328 is a wasteful number, since it uses less digits than its factorization.

230495328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 230495328 is about 15182.0725857835. The cubic root of 230495328 is about 613.1320837308.

The spelling of 230495328 in words is "two hundred thirty million, four hundred ninety-five thousand, three hundred twenty-eight".