Search a number
-
+
226517892 = 22323978461
BaseRepresentation
bin11011000000001…
…10001110000100
3120210020022010120
431200012032010
5430442033032
634251021540
75420241006
oct1540061604
9523208116
10226517892
11106955277
1263a3a8b0
1337c10373
1422126376
1514d4662c
hexd806384

226517892 has 48 divisors (see below), whose sum is σ = 557273472. Its totient is φ = 71470080.

The previous prime is 226517891. The next prime is 226517897. The reversal of 226517892 is 298715622.

It is a super-2 number, since 2×2265178922 = 102620710792247328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226517891) 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, 22542 + ... + 31002.

It is an arithmetic number, because the mean of its divisors is an integer number (11609864).

Almost surely, 2226517892 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 226517892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278636736).

226517892 is an abundant number, since it is smaller than the sum of its proper divisors (330755580).

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

226517892 is a wasteful number, since it uses less digits than its factorization.

226517892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8588 (or 8586 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 226517892 is about 15050.5113534391. The cubic root of 226517892 is about 609.5848577297.

The spelling of 226517892 in words is "two hundred twenty-six million, five hundred seventeen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 97 138 194 276 291 388 582 1164 2231 4462 6693 8461 8924 13386 16922 25383 26772 33844 50766 101532 194603 389206 583809 778412 820717 1167618 1641434 2335236 2462151 3282868 4924302 9848604 18876491 37752982 56629473 75505964 113258946 226517892