Search a number
-
+
229376688 = 243311391109
BaseRepresentation
bin11011010110000…
…00001010110000
3120222121112122220
431223000022300
5432210023223
634432201040
75453445462
oct1553001260
9528545586
10229376688
11108528112
1264999180
13386a1668
142266c132
151520d6e3
hexdac02b0

229376688 has 80 divisors (see below), whose sum is σ = 616627200. Its totient is φ = 73393920.

The previous prime is 229376687. The next prime is 229376713. The reversal of 229376688 is 886673922.

It is a super-2 number, since 2×2293766882 = 105227329995698688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 229376688.

It is not an unprimeable number, because it can be changed into a prime (229376681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206278 + ... + 207386.

It is an arithmetic number, because the mean of its divisors is an integer number (7707840).

Almost surely, 2229376688 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 229376688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308313600).

229376688 is an abundant number, since it is smaller than the sum of its proper divisors (387250512).

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

229376688 is a wasteful number, since it uses less digits than its factorization.

229376688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1284 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 229376688 is about 15145.1869582386. The cubic root of 229376688 is about 612.1385905107.

The spelling of 229376688 in words is "two hundred twenty-nine million, three hundred seventy-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 139 186 248 278 372 417 496 556 744 834 1109 1112 1488 1668 2218 2224 3327 3336 4309 4436 6654 6672 8618 8872 12927 13308 17236 17744 25854 26616 34379 34472 51708 53232 68758 68944 103137 103416 137516 154151 206274 206832 275032 308302 412548 462453 550064 616604 825096 924906 1233208 1650192 1849812 2466416 3699624 4778681 7399248 9557362 14336043 19114724 28672086 38229448 57344172 76458896 114688344 229376688