Search a number
-
+
228241664 = 287671901
BaseRepresentation
bin11011001101010…
…11000100000000
3120220110212200222
431212223010000
5431412213124
634352002212
75441010410
oct1546530400
9526425628
10228241664
11107922382
1264530368
1338394b51
1422454640
151508725e
hexd9ab100

228241664 has 72 divisors (see below), whose sum is σ = 528725568. Its totient is φ = 96307200.

The previous prime is 228241649. The next prime is 228241669. The reversal of 228241664 is 466142822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228241669) 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 7 ways as a sum of consecutive naturals, for example, 119114 + ... + 121014.

Almost surely, 2228241664 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 228241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264362784).

228241664 is an abundant number, since it is smaller than the sum of its proper divisors (300483904).

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

228241664 is an equidigital number, since it uses as much as digits as its factorization.

228241664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1977 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 228241664 is about 15107.6690458853. The cubic root of 228241664 is about 611.1272393123.

The spelling of 228241664 in words is "two hundred twenty-eight million, two hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 256 268 448 469 536 896 938 1072 1792 1876 1901 2144 3752 3802 4288 7504 7604 8576 13307 15008 15208 17152 26614 30016 30416 53228 60032 60832 106456 120064 121664 127367 212912 243328 254734 425824 486656 509468 851648 891569 1018936 1703296 1783138 2037872 3406592 3566276 4075744 7132552 8151488 14265104 16302976 28530208 32605952 57060416 114120832 228241664