Search a number
-
+
229589136 = 24327239953
BaseRepresentation
bin11011010111101…
…00000010010000
3121000000100002100
431223310002100
5432233323021
634440520400
75455322040
oct1553640220
9530010070
10229589136
11108662797
1264a80100
133874727a
14226c5720
1515251626
hexdaf4090

229589136 has 120 divisors (see below), whose sum is σ = 738167040. Its totient is φ = 65253888.

The previous prime is 229589123. The next prime is 229589147. The reversal of 229589136 is 631985922.

It is a super-2 number, since 2×2295891362 = 105422342738452992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 229589091 and 229589100.

It is a congruent number.

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, 240436 + ... + 241388.

It is an arithmetic number, because the mean of its divisors is an integer number (6151392).

Almost surely, 2229589136 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 229589136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369083520).

229589136 is an abundant number, since it is smaller than the sum of its proper divisors (508577904).

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

229589136 is a wasteful number, since it uses less digits than its factorization.

229589136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1204 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 229589136 is about 15152.1990483230. The cubic root of 229589136 is about 612.3275191694.

The spelling of 229589136 in words is "two hundred twenty-nine million, five hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 239 252 336 478 504 717 953 956 1008 1434 1673 1906 1912 2151 2859 2868 3346 3812 3824 4302 5019 5718 5736 6671 6692 7624 8577 8604 10038 11436 11472 13342 13384 15057 15248 17154 17208 20013 20076 22872 26684 26768 30114 34308 34416 40026 40152 45744 53368 60039 60228 68616 80052 80304 106736 120078 120456 137232 160104 227767 240156 240912 320208 455534 480312 683301 911068 960624 1366602 1594369 1822136 2049903 2733204 3188738 3644272 4099806 4783107 5466408 6377476 8199612 9566214 10932816 12754952 14349321 16399224 19132428 25509904 28698642 32798448 38264856 57397284 76529712 114794568 229589136