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230320668 = 223291135857
BaseRepresentation
bin11011011101001…
…10101000011100
3121001101111120010
431232212220130
5432430230133
634504323220
75464456554
oct1556465034
9531344503
10230320668
11109012366
1265173510
1338942226
1422836164
1515348263
hexdba6a1c

230320668 has 48 divisors (see below), whose sum is σ = 560962080. Its totient is φ = 73457664.

The previous prime is 230320661. The next prime is 230320681. The reversal of 230320668 is 866023032.

It is a super-2 number, since 2×2303206682 = 106095220215932448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230320661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36396 + ... + 42252.

It is an arithmetic number, because the mean of its divisors is an integer number (11686710).

Almost surely, 2230320668 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 230320668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280481040).

230320668 is an abundant number, since it is smaller than the sum of its proper divisors (330641412).

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

230320668 is a wasteful number, since it uses less digits than its factorization.

230320668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 230320668 is about 15176.3193166196. The cubic root of 230320668 is about 612.9771757312.

The spelling of 230320668 in words is "two hundred thirty million, three hundred twenty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 113 116 174 226 339 348 452 678 1356 3277 5857 6554 9831 11714 13108 17571 19662 23428 35142 39324 70284 169853 339706 509559 661841 679412 1019118 1323682 1985523 2038236 2647364 3971046 7942092 19193389 38386778 57580167 76773556 115160334 230320668