Search a number
-
+
226145568 = 25311239311
BaseRepresentation
bin11010111101010…
…11010100100000
3120202112101101210
431132223110200
5430343124233
634235030120
75414130345
oct1536532440
9522471353
10226145568
11106720570
126389b340
1337b0ca5c
142206a7cc
1514cc1163
hexd7ab520

226145568 has 96 divisors (see below), whose sum is σ = 675827712. Its totient is φ = 65542400.

The previous prime is 226145561. The next prime is 226145587. The reversal of 226145568 is 865541622.

226145568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2261455682 = 102283635852085248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226145561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19633 + ... + 28943.

It is an arithmetic number, because the mean of its divisors is an integer number (7039872).

Almost surely, 2226145568 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 226145568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337913856).

226145568 is an abundant number, since it is smaller than the sum of its proper divisors (449682144).

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

226145568 is a wasteful number, since it uses less digits than its factorization.

226145568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9358 (or 9350 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 226145568 is about 15038.1371186726. The cubic root of 226145568 is about 609.2506861312.

It can be divided in two parts, 22614 and 5568, that added together give a palindrome (28182).

The spelling of 226145568 in words is "two hundred twenty-six million, one hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 9311 12144 18622 24288 27933 37244 55866 74488 102421 111732 148976 204842 214153 223464 297952 307263 409684 428306 446928 614526 642459 819368 856612 893856 1229052 1284918 1638736 1713224 2355683 2458104 2569836 3277472 3426448 4711366 4916208 5139672 6852896 7067049 9422732 9832416 10279344 14134098 18845464 20558688 28268196 37690928 56536392 75381856 113072784 226145568