Search a number
-
+
230985872 = 24132353911
BaseRepresentation
bin11011100010010…
…01000010010000
3121002122022001022
431301021002100
5433113021442
634530455012
75503230125
oct1561110220
9532568038
10230985872
11109427117
1265434468
1338b15c40
142296a74c
151542a3d2
hexdc49090

230985872 has 80 divisors (see below), whose sum is σ = 512967168. Its totient is φ = 99939840.

The previous prime is 230985863. The next prime is 230985877. The reversal of 230985872 is 278589032.

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 (230985877) 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, 253097 + ... + 254007.

Almost surely, 2230985872 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 230985872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256483584).

230985872 is an abundant number, since it is smaller than the sum of its proper divisors (281981296).

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

230985872 is a wasteful number, since it uses less digits than its factorization.

230985872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 230985872 is about 15198.2193693867. The cubic root of 230985872 is about 613.5667348402.

The spelling of 230985872 in words is "two hundred thirty million, nine hundred eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 53 92 104 106 184 208 212 299 368 424 598 689 848 911 1196 1219 1378 1822 2392 2438 2756 3644 4784 4876 5512 7288 9752 11024 11843 14576 15847 19504 20953 23686 31694 41906 47372 48283 63388 83812 94744 96566 126776 167624 189488 193132 253552 272389 335248 386264 544778 627679 772528 1089556 1110509 1255358 2179112 2221018 2510716 4358224 4442036 5021432 8884072 10042864 14436617 17768144 28873234 57746468 115492936 230985872