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230427648 = 21032112273
BaseRepresentation
bin11011011110000…
…00110000000000
3121001120221022100
431233000300000
5432442141043
634510510400
75465413503
oct1557006000
9531527270
10230427648
11109085780
1265205400
133897bb29
142286313a
1515369cd3
hexdbc0c00

230427648 has 132 divisors (see below), whose sum is σ = 726160968. Its totient is φ = 69795840.

The previous prime is 230427643. The next prime is 230427653. The reversal of 230427648 is 846724032.

230427648 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 2 + 7 + 648 = 666.

230427648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230427643) and next prime (230427653).

It is a tau number, because it is divible by the number of its divisors (132).

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

It is not an unprimeable number, because it can be changed into a prime (230427641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100240 + ... + 102512.

Almost surely, 2230427648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363080484).

230427648 is an abundant number, since it is smaller than the sum of its proper divisors (495733320).

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

230427648 is a wasteful number, since it uses less digits than its factorization.

230427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 230427648 is about 15179.8434774539. The cubic root of 230427648 is about 613.0720668359.

It can be divided in two parts, 2304276 and 48, that added together give a square (2304324 = 15182).

The spelling of 230427648 in words is "two hundred thirty million, four hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2273 2304 2816 3072 3168 4224 4546 4608 5632 6336 6819 8448 9092 9216 11264 12672 13638 16896 18184 20457 25003 25344 27276 33792 36368 40914 50006 50688 54552 72736 75009 81828 100012 101376 109104 145472 150018 163656 200024 218208 225027 290944 300036 327312 400048 436416 450054 581888 600072 654624 800096 872832 900108 1163776 1200144 1309248 1600192 1745664 1800216 2327552 2400288 2618496 3200384 3491328 3600432 4800576 5236992 6400768 6982656 7200864 9601152 10473984 12801536 14401728 19202304 20947968 25603072 28803456 38404608 57606912 76809216 115213824 230427648