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230497568 = 25722937137
BaseRepresentation
bin11011011110100…
…01110100100000
3121001201111012222
431233101310200
5433001410233
634512210212
75466124400
oct1557216440
9531644188
10230497568
11109123264
1265239968
13389a48c2
1422880800
1515380898
hexdbd1d20

230497568 has 144 divisors (see below), whose sum is σ = 564936120. Its totient is φ = 92123136.

The previous prime is 230497549. The next prime is 230497609. The reversal of 230497568 is 865794032.

230497568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 227768464 + 2729104 = 15092^2 + 1652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1682396 + ... + 1682532.

Almost surely, 2230497568 is an apocalyptic number.

230497568 is a gapful number since it is divisible by the number (28) 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 230497568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282468060).

230497568 is an abundant number, since it is smaller than the sum of its proper divisors (334438552).

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

230497568 is a wasteful number, since it uses less digits than its factorization.

230497568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 230497568 is about 15182.1463568232. The cubic root of 230497568 is about 613.1340699047.

The spelling of 230497568 in words is "two hundred thirty million, four hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 37 49 56 58 74 98 112 116 137 148 196 203 224 232 259 274 296 392 406 464 518 548 592 784 812 928 959 1036 1073 1096 1184 1421 1568 1624 1813 1918 2072 2146 2192 2842 3248 3626 3836 3973 4144 4292 4384 5069 5684 6496 6713 7252 7511 7672 7946 8288 8584 10138 11368 13426 14504 15022 15344 15892 17168 20276 22736 26852 27811 29008 30044 30688 31784 34336 35483 40552 45472 52577 53704 55622 58016 60088 63568 70966 81104 105154 107408 111244 120176 127136 141932 147001 162208 194677 210308 214816 222488 240352 248381 283864 294002 389354 420616 444976 496762 567728 588004 778708 841232 889952 993524 1029007 1135456 1176008 1557416 1682464 1987048 2058014 2352016 3114832 3974096 4116028 4704032 6229664 7203049 7948192 8232056 14406098 16464112 28812196 32928224 57624392 115248784 230497568