Search a number
-
+
228506144 = 257140817
BaseRepresentation
bin11011001111010…
…11101000100000
3120220222022111112
431213223220200
5431444144034
634401402452
75443161446
oct1547535040
9526868445
10228506144
11107a93059
1264639428
1338458349
14224c2b96
15150da7ce
hexd9eba20

228506144 has 12 divisors (see below), whose sum is σ = 449871534. Its totient is φ = 114253056.

The previous prime is 228506143. The next prime is 228506189. The reversal of 228506144 is 441605822.

228506144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 170563600 + 57942544 = 13060^2 + 7612^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 7140817 = 228506144 / (2 + 2 + 8 + 5 + 0 + 6 + 1 + 4 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 228506144.

It is not an unprimeable number, because it can be changed into a prime (228506143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3570377 + ... + 3570440.

Almost surely, 2228506144 is an apocalyptic number.

It is an amenable number.

228506144 is a deficient number, since it is larger than the sum of its proper divisors (221365390).

228506144 is an equidigital number, since it uses as much as digits as its factorization.

228506144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7140827 (or 7140819 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 228506144 is about 15116.4196819220. The cubic root of 228506144 is about 611.3632005277.

The spelling of 228506144 in words is "two hundred twenty-eight million, five hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 7140817 14281634 28563268 57126536 114253072 228506144