Search a number
-
+
230970608 = 24112532251
BaseRepresentation
bin11011100010001…
…01010011110000
3121002121112002222
431301011103300
5433112024413
634530300212
75503134461
oct1561052360
9532545088
10230970608
11109416700
1265427668
1338b0bccb
1422964d68
1515425b08
hexdc454f0

230970608 has 60 divisors (see below), whose sum is σ = 501389784. Its totient is φ = 102960000.

The previous prime is 230970581. The next prime is 230970611. The reversal of 230970608 is 806079032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101483 + ... + 103733.

Almost surely, 2230970608 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 230970608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250694892).

230970608 is an abundant number, since it is smaller than the sum of its proper divisors (270419176).

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

230970608 is a wasteful number, since it uses less digits than its factorization.

230970608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 230970608 is about 15197.7171970003. The cubic root of 230970608 is about 613.5532193110.

The spelling of 230970608 in words is "two hundred thirty million, nine hundred seventy thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 121 176 212 242 424 484 583 848 968 1166 1936 2251 2332 4502 4664 6413 9004 9328 12826 18008 24761 25652 36016 49522 51304 99044 102608 119303 198088 238606 272371 396176 477212 544742 954424 1089484 1312333 1908848 2178968 2624666 4357936 5249332 10498664 14435663 20997328 28871326 57742652 115485304 230970608