Search a number
-
+
229241760 = 25351123947
BaseRepresentation
bin11011010100111…
…11001110100000
3120222100200120120
431222133032200
5432141214020
634425240240
75452344216
oct1552371640
9528320516
10229241760
11108445800
1264933080
1338655117
1422634cb6
15151d3740
hexda9f3a0

229241760 has 144 divisors (see below), whose sum is σ = 793927008. Its totient is φ = 55559680.

The previous prime is 229241743. The next prime is 229241797. The reversal of 229241760 is 67142922.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56107 + ... + 60053.

It is an arithmetic number, because the mean of its divisors is an integer number (5513382).

Almost surely, 2229241760 is an apocalyptic number.

229241760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396963504).

229241760 is an abundant number, since it is smaller than the sum of its proper divisors (564685248).

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

229241760 is a wasteful number, since it uses less digits than its factorization.

229241760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 229241760 is about 15140.7318185086. The cubic root of 229241760 is about 612.0185393162.

The spelling of 229241760 in words is "two hundred twenty-nine million, two hundred forty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 3947 4840 5280 5808 7260 7894 9680 11616 11841 14520 15788 19360 19735 23682 29040 31576 39470 43417 47364 58080 59205 63152 78940 86834 94728 118410 126304 130251 157880 173668 189456 217085 236820 260502 315760 347336 378912 434170 473640 477587 521004 631520 651255 694672 868340 947280 955174 1042008 1302510 1389344 1432761 1736680 1894560 1910348 2084016 2387935 2605020 2865522 3473360 3820696 4168032 4775870 5210040 5731044 6946720 7163805 7641392 9551740 10420080 11462088 14327610 15282784 19103480 20840160 22924176 28655220 38206960 45848352 57310440 76413920 114620880 229241760