Search a number
-
+
228444864 = 2632414937
BaseRepresentation
bin11011001110111…
…00101011000000
3120220212012102220
431213130223000
5431440213424
634400211040
75442515004
oct1547345300
9526765386
10228444864
11107a5100a
1264609a80
133843649b
14224a8704
15150c7579
hexd9dcac0

228444864 has 56 divisors (see below), whose sum is σ = 607057968. Its totient is φ = 75816960.

The previous prime is 228444857. The next prime is 228444869. The reversal of 228444864 is 468444822.

It is a happy number.

228444864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228444869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43804 + ... + 48740.

Almost surely, 2228444864 is an apocalyptic number.

228444864 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 228444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303528984).

228444864 is an abundant number, since it is smaller than the sum of its proper divisors (378613104).

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

228444864 is a wasteful number, since it uses less digits than its factorization.

228444864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5193 (or 5183 counting only the distinct ones).

The product of its digits is 393216, while the sum is 42.

The square root of 228444864 is about 15114.3926110181. The cubic root of 228444864 is about 611.3085445408.

Subtracting from 228444864 its sum of digits (42), we obtain a palindrome (228444822).

The spelling of 228444864 in words is "two hundred twenty-eight million, four hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 241 482 723 964 1446 1928 2892 3856 4937 5784 7712 9874 11568 14811 15424 19748 23136 29622 39496 46272 59244 78992 118488 157984 236976 315968 473952 947904 1189817 2379634 3569451 4759268 7138902 9518536 14277804 19037072 28555608 38074144 57111216 76148288 114222432 228444864