Search a number
-
+
229807368 = 23347291747
BaseRepresentation
bin11011011001010…
…01010100001000
3121000102102110000
431230221110020
5432312313433
634445323000
75460221220
oct1554512410
9530372400
10229807368
111087a174a
1264b66460
13387c26bb
1422741080
1515296113
hexdb29508

229807368 has 160 divisors (see below), whose sum is σ = 761428800. Its totient is φ = 63358848.

The previous prime is 229807367. The next prime is 229807379. The reversal of 229807368 is 863708922.

It is a super-2 number, since 2×2298073682 = 105622852774174848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (229807363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130671 + ... + 132417.

It is an arithmetic number, because the mean of its divisors is an integer number (4758930).

Almost surely, 2229807368 is an apocalyptic number.

229807368 is a gapful number since it is divisible by the number (28) 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 229807368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380714400).

229807368 is an abundant number, since it is smaller than the sum of its proper divisors (531621432).

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

229807368 is a wasteful number, since it uses less digits than its factorization.

229807368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 229807368 is about 15159.3986688127. The cubic root of 229807368 is about 612.5214701901.

The spelling of 229807368 in words is "two hundred twenty-nine million, eight hundred seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 168 174 189 203 216 232 252 261 324 348 378 406 504 522 567 609 648 696 756 783 812 1044 1134 1218 1512 1566 1624 1747 1827 2088 2268 2349 2436 3132 3494 3654 4536 4698 4872 5241 5481 6264 6988 7308 9396 10482 10962 12229 13976 14616 15723 16443 18792 20964 21924 24458 31446 32886 36687 41928 43848 47169 48916 50663 62892 65772 73374 94338 97832 101326 110061 125784 131544 141507 146748 151989 188676 202652 220122 283014 293496 303978 330183 354641 377352 405304 440244 455967 566028 607956 660366 709282 880488 911934 990549 1063923 1132056 1215912 1320732 1367901 1418564 1823868 1981098 2127846 2641464 2735802 2837128 3191769 3647736 3962196 4103703 4255692 5471604 6383538 7924392 8207406 8511384 9575307 10943208 12767076 16414812 19150614 25534152 28725921 32829624 38301228 57451842 76602456 114903684 229807368