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230107696 = 24713212157
BaseRepresentation
bin11011011011100…
…10101000110000
3121000222200102021
431231302220300
5432401421241
634500001224
75462611630
oct1555625060
9530880367
10230107696
11108987355
1265090214
1338899300
14227bc6c0
15153050d1
hexdb72a30

230107696 has 60 divisors (see below), whose sum is σ = 551778672. Its totient is φ = 91024128.

The previous prime is 230107693. The next prime is 230107697. The reversal of 230107696 is 696701032.

230107696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (230107693) 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, 12850 + ... + 25006.

Almost surely, 2230107696 is an apocalyptic number.

230107696 is a gapful number since it is divisible by the number (26) 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 230107696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275889336).

230107696 is an abundant number, since it is smaller than the sum of its proper divisors (321670976).

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

230107696 is a wasteful number, since it uses less digits than its factorization.

230107696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12198 (or 12179 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 230107696 is about 15169.3011045335. The cubic root of 230107696 is about 612.7881823670.

The spelling of 230107696 in words is "two hundred thirty million, one hundred seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 2366 2704 4732 9464 12157 18928 24314 48628 85099 97256 158041 170198 194512 316082 340396 632164 680792 1106287 1264328 1361584 2054533 2212574 2528656 4109066 4425148 8218132 8850296 14381731 16436264 17700592 28763462 32872528 57526924 115053848 230107696