Search a number
-
+
231470064 = 24327277829
BaseRepresentation
bin11011100101111…
…11001111110000
3121010112220020100
431302333033300
5433224020224
634545112400
75510314560
oct1562771760
9533486210
10231470064
11109727981
1265628700
1338c55447
1422a54da0
15154c3ac9
hexdcbf3f0

231470064 has 120 divisors (see below), whose sum is σ = 743905760. Its totient is φ = 65816064.

The previous prime is 231470053. The next prime is 231470069. The reversal of 231470064 is 460074132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231470069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278802 + ... + 279630.

Almost surely, 2231470064 is an apocalyptic number.

231470064 is a gapful number since it is divisible by the number (24) 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 231470064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371952880).

231470064 is an abundant number, since it is smaller than the sum of its proper divisors (512435696).

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

231470064 is a wasteful number, since it uses less digits than its factorization.

231470064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 231470064 is about 15214.1402648983. The cubic root of 231470064 is about 613.9951546407.

The spelling of 231470064 in words is "two hundred thirty-one million, four hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 277 336 504 554 829 831 1008 1108 1658 1662 1939 2216 2487 2493 3316 3324 3878 4432 4974 4986 5803 5817 6632 6648 7461 7756 9948 9972 11606 11634 13264 13296 14922 15512 17409 17451 19896 19944 23212 23268 29844 31024 34818 34902 39792 39888 46424 46536 52227 59688 69636 69804 92848 93072 104454 119376 139272 139608 208908 229633 278544 279216 417816 459266 688899 835632 918532 1377798 1607431 1837064 2066697 2755596 3214862 3674128 4133394 4822293 5511192 6429724 8266788 9644586 11022384 12859448 14466879 16533576 19289172 25718896 28933758 33067152 38578344 57867516 77156688 115735032 231470064