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230256752 = 241129197229
BaseRepresentation
bin11011011100101…
…11000001110000
3121001021020212212
431232113001300
5432421204002
634503111252
75464102325
oct1556270160
9531236785
10230256752
11108a79340
1265142528
133891c0cb
142281ab4c
1515334352
hexdb97070

230256752 has 80 divisors (see below), whose sum is σ = 508226400. Its totient is φ = 100101120.

The previous prime is 230256707. The next prime is 230256791. The reversal of 230256752 is 257652032.

230256752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005374 + ... + 1005602.

It is an arithmetic number, because the mean of its divisors is an integer number (6352830).

Almost surely, 2230256752 is an apocalyptic number.

230256752 is a gapful number since it is divisible by the number (22) 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 230256752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254113200).

230256752 is an abundant number, since it is smaller than the sum of its proper divisors (277969648).

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

230256752 is a wasteful number, since it uses less digits than its factorization.

230256752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 230256752 is about 15174.2133898268. The cubic root of 230256752 is about 612.9204683092.

The spelling of 230256752 in words is "two hundred thirty million, two hundred fifty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 197 229 232 319 394 458 464 638 788 916 1276 1576 1832 2167 2519 2552 3152 3664 4334 5038 5104 5713 6641 8668 10076 11426 13282 17336 20152 22852 26564 34672 40304 45113 45704 53128 62843 73051 90226 91408 106256 125686 146102 180452 251372 292204 360904 496243 502744 584408 721808 992486 1005488 1168816 1308277 1984972 2616554 3969944 5233108 7939888 10466216 14391047 20932432 28782094 57564188 115128376 230256752