Search a number
-
+
229757864 = 2373313773
BaseRepresentation
bin11011011000111…
…01001110101000
3121000022220112112
431230131032220
5432304222424
634444301452
75456624000
oct1554351650
9530286475
10229757864
11108768536
1264b41888
13387a5ccb
142272b000
151528660e
hexdb1d3a8

229757864 has 128 divisors (see below), whose sum is σ = 539904000. Its totient is φ = 91445760.

The previous prime is 229757849. The next prime is 229757867. The reversal of 229757864 is 468757922.

Its product of digits (1693440) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (229757867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3147332 + ... + 3147404.

It is an arithmetic number, because the mean of its divisors is an integer number (4218000).

Almost surely, 2229757864 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 229757864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269952000).

229757864 is an abundant number, since it is smaller than the sum of its proper divisors (310146136).

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

229757864 is a wasteful number, since it uses less digits than its factorization.

229757864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 50.

The square root of 229757864 is about 15157.7657984282. The cubic root of 229757864 is about 612.4774848867.

The spelling of 229757864 in words is "two hundred twenty-nine million, seven hundred fifty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 37 49 56 62 73 74 98 124 146 148 196 217 248 259 292 296 343 392 434 511 518 584 686 868 1022 1036 1147 1372 1519 1736 1813 2044 2072 2263 2294 2701 2744 3038 3577 3626 4088 4526 4588 5402 6076 7154 7252 8029 9052 9176 10633 10804 12152 12691 14308 14504 15841 16058 18104 18907 21266 21608 25039 25382 28616 31682 32116 37814 42532 50078 50764 56203 63364 64232 75628 83731 85064 100156 101528 110887 112406 126728 132349 151256 167462 200312 221774 224812 264698 334924 393421 443548 449624 529396 586117 669848 776209 786842 887096 926443 1058792 1172234 1552418 1573684 1852886 2344468 3104836 3147368 3705772 4102819 4688936 6209672 7411544 8205638 16411276 28719733 32822552 57439466 114878932 229757864