Search a number
-
+
226463868 = 223217221767
BaseRepresentation
bin11010111111110…
…01000001111100
3120210010120000200
431133321001330
5430433320433
634245523500
75416624341
oct1537710174
9523116020
10226463868
11106918724
1263a13590
1337bc18b7
14221107c8
1514d35613
hexd7f907c

226463868 has 54 divisors (see below), whose sum is σ = 608132616. Its totient is φ = 71044224.

The previous prime is 226463803. The next prime is 226463873. The reversal of 226463868 is 868364622.

226463868 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 638 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 480 + ... + 21287.

Almost surely, 2226463868 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 226463868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304066308).

226463868 is an abundant number, since it is smaller than the sum of its proper divisors (381668748).

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

226463868 is a wasteful number, since it uses less digits than its factorization.

226463868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21811 (or 21789 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 226463868 is about 15048.7164901197. The cubic root of 226463868 is about 609.5363923443.

The spelling of 226463868 in words is "two hundred twenty-six million, four hundred sixty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 21767 43534 65301 87068 130602 195903 261204 370039 391806 740078 783612 1110117 1480156 2220234 3330351 4440468 6290663 6660702 12581326 13321404 18871989 25162652 37743978 56615967 75487956 113231934 226463868