Search a number
-
+
228485784 = 23341892609
BaseRepresentation
bin11011001111001…
…10101010011000
3120220221021120110
431213212222120
5431443021114
634401124320
75443045212
oct1547465230
9526837513
10228485784
11107a7982a
12646296a0
133844bcb7
14224b95b2
15150d4759
hexd9e6a98

228485784 has 64 divisors (see below), whose sum is σ = 591948000. Its totient is φ = 73441280.

The previous prime is 228485783. The next prime is 228485843. The reversal of 228485784 is 487584822.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228485783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86272 + ... + 88880.

Almost surely, 2228485784 is an apocalyptic number.

228485784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228485784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295974000).

228485784 is an abundant number, since it is smaller than the sum of its proper divisors (363462216).

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

228485784 is a wasteful number, since it uses less digits than its factorization.

228485784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2744 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 48.

The square root of 228485784 is about 15115.7462270309. The cubic root of 228485784 is about 611.3450424098.

The spelling of 228485784 in words is "two hundred twenty-eight million, four hundred eighty-five thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 89 123 164 178 246 267 328 356 492 534 712 984 1068 2136 2609 3649 5218 7298 7827 10436 10947 14596 15654 20872 21894 29192 31308 43788 62616 87576 106969 213938 232201 320907 427876 464402 641814 696603 855752 928804 1283628 1393206 1857608 2567256 2786412 5572824 9520241 19040482 28560723 38080964 57121446 76161928 114242892 228485784