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230846976 = 293316699
BaseRepresentation
bin11011100001001…
…11001000000000
3121002101020112000
431300213020000
5433044100401
634523504000
75502111153
oct1560471000
9532336460
10230846976
11109341828
1265388000
1338a97959
1422931c9a
15153ee186
hexdc27200

230846976 has 80 divisors (see below), whose sum is σ = 683364000. Its totient is φ = 76944384.

The previous prime is 230846971. The next prime is 230846977. The reversal of 230846976 is 679648032.

It is not an unprimeable number, because it can be changed into a prime (230846971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5475 + ... + 22173.

It is an arithmetic number, because the mean of its divisors is an integer number (8542050).

Almost surely, 2230846976 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 230846976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341682000).

230846976 is an abundant number, since it is smaller than the sum of its proper divisors (452517024).

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

230846976 is an equidigital number, since it uses as much as digits as its factorization.

230846976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16726 (or 16704 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 230846976 is about 15193.6491995834. The cubic root of 230846976 is about 613.4437272410.

It can be divided in two parts, 2308 and 46976, that added together give a square (49284 = 2222).

The spelling of 230846976 in words is "two hundred thirty million, eight hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 16699 33398 50097 66796 100194 133592 150291 200388 267184 300582 400776 450873 534368 601164 801552 901746 1068736 1202328 1603104 1803492 2137472 2404656 3206208 3606984 4274944 4809312 6412416 7213968 8549888 9618624 12824832 14427936 19237248 25649664 28855872 38474496 57711744 76948992 115423488 230846976