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230828256 = 2532801487
BaseRepresentation
bin11011100001000…
…10100011100000
3121002100021211200
431300202203200
5433043001011
634523241200
75502002451
oct1560424340
9532307750
10230828256
1110932975a
1265379200
1338a8c289
1422929128
15153e8856
hexdc228e0

230828256 has 36 divisors (see below), whose sum is σ = 656418672. Its totient is φ = 76942656.

The previous prime is 230828231. The next prime is 230828287. The reversal of 230828256 is 652828032.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 230828256.

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 5 ways as a sum of consecutive naturals, for example, 400456 + ... + 401031.

It is an arithmetic number, because the mean of its divisors is an integer number (18233852).

Almost surely, 2230828256 is an apocalyptic number.

It is an amenable number.

230828256 is an abundant number, since it is smaller than the sum of its proper divisors (425590416).

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

230828256 is a wasteful number, since it uses less digits than its factorization.

230828256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801503 (or 801492 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 230828256 is about 15193.0331402258. The cubic root of 230828256 is about 613.4271448607.

The spelling of 230828256 in words is "two hundred thirty million, eight hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 801487 1602974 2404461 3205948 4808922 6411896 7213383 9617844 12823792 14426766 19235688 25647584 28853532 38471376 57707064 76942752 115414128 230828256