Search a number
-
+
229463496 = 23332294639
BaseRepresentation
bin11011010110101…
…01010111001000
3120222202221202000
431223111113020
5432220312441
634434111000
75454256533
oct1553252710
9528687660
10229463496
11108587359
1264a1b460
1338702022
1422691a1a
15152292b6
hexdad55c8

229463496 has 64 divisors (see below), whose sum is σ = 640320000. Its totient is φ = 76137408.

The previous prime is 229463489. The next prime is 229463497. The reversal of 229463496 is 694364922.

229463496 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 634 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (229463497) 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, 47145 + ... + 51783.

It is an arithmetic number, because the mean of its divisors is an integer number (10005000).

Almost surely, 2229463496 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 229463496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320160000).

229463496 is an abundant number, since it is smaller than the sum of its proper divisors (410856504).

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

229463496 is a wasteful number, since it uses less digits than its factorization.

229463496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883 (or 4873 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 229463496 is about 15148.0525481000. The cubic root of 229463496 is about 612.2158024034.

The spelling of 229463496 in words is "two hundred twenty-nine million, four hundred sixty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 458 687 916 1374 1832 2061 2748 4122 4639 5496 6183 8244 9278 12366 13917 16488 18556 24732 27834 37112 41751 49464 55668 83502 111336 125253 167004 250506 334008 501012 1002024 1062331 2124662 3186993 4249324 6373986 8498648 9560979 12747972 19121958 25495944 28682937 38243916 57365874 76487832 114731748 229463496