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230835456 = 2832100189
BaseRepresentation
bin11011100001001…
…00010100000000
3121002100122201100
431300210110000
5433043213311
634523334400
75502032445
oct1560442400
9532318640
10230835456
11109334105
1265381400
1338a92637
142292b9cc
15153eaa56
hexdc24500

230835456 has 54 divisors (see below), whose sum is σ = 665562170. Its totient is φ = 76944384.

The previous prime is 230835443. The next prime is 230835461. The reversal of 230835456 is 654538032.

It is a happy number.

230835456 is a `hidden beast` number, since 2 + 30 + 83 + 545 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164249856 + 66585600 = 12816^2 + 8160^2 .

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 230835456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47791 + ... + 52398.

Almost surely, 2230835456 is an apocalyptic number.

It is an amenable number.

230835456 is an abundant number, since it is smaller than the sum of its proper divisors (434726714).

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

230835456 is a wasteful number, since it uses less digits than its factorization.

230835456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100211 (or 100194 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 230835456 is about 15193.2700890888. The cubic root of 230835456 is about 613.4335228054.

The spelling of 230835456 in words is "two hundred thirty million, eight hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 100189 200378 300567 400756 601134 801512 901701 1202268 1603024 1803402 2404536 3206048 3606804 4809072 6412096 7213608 9618144 12824192 14427216 19236288 25648384 28854432 38472576 57708864 76945152 115417728 230835456