Search a number
-
+
226435248 = 243213294397
BaseRepresentation
bin11010111111100…
…10000010110000
3120210002002202200
431133302002300
5430431411443
634245143200
75416445034
oct1537620260
9523062680
10226435248
111068a9176
12639bab00
1337bb1870
14221041c4
1514d2bdd3
hexd7f20b0

226435248 has 240 divisors, whose sum is σ = 729849120. Its totient is φ = 65028096.

The previous prime is 226435241. The next prime is 226435327. The reversal of 226435248 is 842534622.

226435248 is a `hidden beast` number, since 2 + 2 + 643 + 5 + 2 + 4 + 8 = 666.

226435248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (226435241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2334336 + ... + 2334432.

It is an arithmetic number, because the mean of its divisors is an integer number (3041038).

Almost surely, 2226435248 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 226435248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364924560).

226435248 is an abundant number, since it is smaller than the sum of its proper divisors (503413872).

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

226435248 is a wasteful number, since it uses less digits than its factorization.

226435248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 226435248 is about 15047.7655484128. The cubic root of 226435248 is about 609.5107139780.

The spelling of 226435248 in words is "two hundred twenty-six million, four hundred thirty-five thousand, two hundred forty-eight".