Search a number
-
+
229793536 = 28732617
BaseRepresentation
bin11011011001001…
…01111100000000
3121000101201110201
431230211330000
5432311343121
634445134544
75460133000
oct1554457400
9530351421
10229793536
11108792315
1264b5a454
13387b930b
142273a000
1515291e91
hexdb25f00

229793536 has 72 divisors (see below), whose sum is σ = 535119200. Its totient is φ = 98445312.

The previous prime is 229793497. The next prime is 229793563. The reversal of 229793536 is 635397922.

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 7 ways as a sum of consecutive naturals, for example, 86500 + ... + 89116.

Almost surely, 2229793536 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 229793536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267559600).

229793536 is an abundant number, since it is smaller than the sum of its proper divisors (305325664).

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

229793536 is an frugal number, since it uses more digits than its factorization.

229793536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2626 counting only the distinct ones).

The product of its digits is 612360, while the sum is 46.

The square root of 229793536 is about 15158.9424433237. The cubic root of 229793536 is about 612.5091808148.

The spelling of 229793536 in words is "two hundred twenty-nine million, seven hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 784 896 1372 1568 1792 2617 2744 3136 5234 5488 6272 10468 10976 12544 18319 20936 21952 36638 41872 43904 73276 83744 87808 128233 146552 167488 256466 293104 334976 512932 586208 669952 897631 1025864 1172416 1795262 2051728 2344832 3590524 4103456 4689664 7181048 8206912 14362096 16413824 28724192 32827648 57448384 114896768 229793536