Search a number
-
+
229764304 = 24711283659
BaseRepresentation
bin11011011000111…
…10110011010000
3121000100020101001
431230132303100
5432304424204
634444351344
75456651530
oct1554366320
9530306331
10229764304
11108772360
1264b45554
13387a8c13
142272d4c0
15152884a4
hexdb1ecd0

229764304 has 80 divisors (see below), whose sum is σ = 557821440. Its totient is φ = 89066880.

The previous prime is 229764229. The next prime is 229764331. The reversal of 229764304 is 403467922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348327 + ... + 348985.

It is an arithmetic number, because the mean of its divisors is an integer number (6972768).

Almost surely, 2229764304 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 229764304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278910720).

229764304 is an abundant number, since it is smaller than the sum of its proper divisors (328057136).

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

229764304 is a wasteful number, since it uses less digits than its factorization.

229764304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 229764304 is about 15157.9782293022. The cubic root of 229764304 is about 612.4832073141.

The spelling of 229764304 in words is "two hundred twenty-nine million, seven hundred sixty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 283 308 566 616 659 1132 1232 1318 1981 2264 2636 3113 3962 4528 4613 5272 6226 7249 7924 9226 10544 12452 14498 15848 18452 21791 24904 28996 31696 36904 43582 49808 50743 57992 73808 87164 101486 115984 174328 186497 202972 348656 372994 405944 745988 811888 1305479 1491976 2051467 2610958 2983952 4102934 5221916 8205868 10443832 14360269 16411736 20887664 28720538 32823472 57441076 114882152 229764304