Search a number
-
+
229704336 = 24344212
BaseRepresentation
bin11011011000100…
…00001010010000
3121000020012010000
431230100022100
5432301014321
634443210000
75456311641
oct1554201220
9530205100
10229704336
111087312a4
1264b16900
1338787834
14227156c8
1515275826
hexdb10290

229704336 has 75 divisors (see below), whose sum is σ = 666413913. Its totient is φ = 76386240.

The previous prime is 229704313. The next prime is 229704337. The reversal of 229704336 is 633407922.

It is a happy number.

The square root of 229704336 is 15156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1089936 + 228614400 = 1044^2 + 15120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 229704336.

It is not an unprimeable number, because it can be changed into a prime (229704337) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 545406 + ... + 545826.

Almost surely, 2229704336 is an apocalyptic number.

229704336 is the 15156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229704336

229704336 is an abundant number, since it is smaller than the sum of its proper divisors (436709577).

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

229704336 is an frugal number, since it uses more digits than its factorization.

229704336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The cubic root of 229704336 is about 612.4299170681.

Multiplying 229704336 by its sum of digits (36), we get a square (8269356096 = 909362).

229704336 divided by its sum of digits (36) gives a square (6380676 = 25262).

The spelling of 229704336 in words is "two hundred twenty-nine million, seven hundred four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 421 432 648 842 1263 1296 1684 2526 3368 3789 5052 6736 7578 10104 11367 15156 20208 22734 30312 34101 45468 60624 68202 90936 136404 177241 181872 272808 354482 531723 545616 708964 1063446 1417928 1595169 2126892 2835856 3190338 4253784 4785507 6380676 8507568 9571014 12761352 14356521 19142028 25522704 28713042 38284056 57426084 76568112 114852168 229704336