Search a number
-
+
226675488 = 253132353149
BaseRepresentation
bin11011000001011…
…00101100100000
3120210112022022110
431200230230200
5431012103423
634254235320
75421465324
oct1540545440
9523468273
10226675488
11106a52716
1263ab5b40
1337c67010
1422167984
1514d78193
hexd82cb20

226675488 has 192 divisors, whose sum is σ = 685843200. Its totient is φ = 65015808.

The previous prime is 226675481. The next prime is 226675543. The reversal of 226675488 is 884576622.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (226675481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1521238 + ... + 1521386.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2226675488 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 226675488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342921600).

226675488 is an abundant number, since it is smaller than the sum of its proper divisors (459167712).

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

226675488 is a wasteful number, since it uses less digits than its factorization.

226675488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 226675488 is about 15055.7460127355. The cubic root of 226675488 is about 609.7261944158.

The spelling of 226675488 in words is "two hundred twenty-six million, six hundred seventy-five thousand, four hundred eighty-eight".