Search a number
-
+
226428516 = 223247163821
BaseRepresentation
bin11010111111100…
…00011001100100
3120210001202112100
431133300121210
5430431203031
634245052100
75416416306
oct1537603144
9523052470
10226428516
111068a4106
12639b7030
1337bab792
1422101976
1514d29de6
hexd7f0664

226428516 has 72 divisors (see below), whose sum is σ = 588841344. Its totient is φ = 73327680.

The previous prime is 226428509. The next prime is 226428547. The reversal of 226428516 is 615824622.

It is a happy number.

226428516 is a `hidden beast` number, since 2 + 2 + 642 + 8 + 5 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 275386 + ... + 276206.

It is an arithmetic number, because the mean of its divisors is an integer number (8178352).

Almost surely, 2226428516 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 226428516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294420672).

226428516 is an abundant number, since it is smaller than the sum of its proper divisors (362412828).

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

226428516 is a wasteful number, since it uses less digits than its factorization.

226428516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1036 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 226428516 is about 15047.5418590546. The cubic root of 226428516 is about 609.5046735951.

The spelling of 226428516 in words is "two hundred twenty-six million, four hundred twenty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 163 188 282 326 423 489 564 652 821 846 978 1467 1642 1692 1956 2463 2934 3284 4926 5868 7389 7661 9852 14778 15322 22983 29556 30644 38587 45966 68949 77174 91932 115761 133823 137898 154348 231522 267646 275796 347283 401469 463044 535292 694566 802938 1204407 1389132 1605876 2408814 4817628 6289681 12579362 18869043 25158724 37738086 56607129 75476172 113214258 226428516