Search a number
-
+
229071648 = 25313312191
BaseRepresentation
bin11011010011101…
…01101100100000
3120222001001020010
431221311230200
5432120243043
634421444520
75451035241
oct1551655440
9528031203
10229071648
11108339a13
1264870740
13385c5870
14225cccc8
151519d133
hexda75b20

229071648 has 144 divisors (see below), whose sum is σ = 672634368. Its totient is φ = 67852800.

The previous prime is 229071637. The next prime is 229071649. The reversal of 229071648 is 846170922.

229071648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (229071649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199233 + ... + 1199423.

It is an arithmetic number, because the mean of its divisors is an integer number (4671072).

Almost surely, 2229071648 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 229071648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336317184).

229071648 is an abundant number, since it is smaller than the sum of its proper divisors (443562720).

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

229071648 is a wasteful number, since it uses less digits than its factorization.

229071648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 229071648 is about 15135.1130818372. The cubic root of 229071648 is about 611.8671162641.

It can be divided in two parts, 22 and 9071648, that added together give a triangular number (9071670 = T4259).

The spelling of 229071648 in words is "two hundred twenty-nine million, seventy-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 191 208 248 312 372 382 403 416 496 573 624 744 764 806 961 992 1146 1209 1248 1488 1528 1612 1922 2292 2418 2483 2883 2976 3056 3224 3844 4584 4836 4966 5766 5921 6112 6448 7449 7688 9168 9672 9932 11532 11842 12493 12896 14898 15376 17763 18336 19344 19864 23064 23684 24986 29796 30752 35526 37479 38688 39728 46128 47368 49972 59592 71052 74958 76973 79456 92256 94736 99944 119184 142104 149916 153946 183551 189472 199888 230919 238368 284208 299832 307892 367102 399776 461838 550653 568416 599664 615784 734204 923676 1101306 1199328 1231568 1468408 1847352 2202612 2386163 2463136 2936816 3694704 4405224 4772326 5873632 7158489 7389408 8810448 9544652 14316978 17620896 19089304 28633956 38178608 57267912 76357216 114535824 229071648