Search a number
-
+
228505376 = 2511679689
BaseRepresentation
bin11011001111010…
…11011100100000
3120220222021110002
431213223130200
5431444133001
634401355132
75443156301
oct1547533440
9526867402
10228505376
11107a92520
1264638aa8
1338457ba8
14224c27a8
15150da46b
hexd9eb720

228505376 has 48 divisors (see below), whose sum is σ = 498143520. Its totient is φ = 102305280.

The previous prime is 228505369. The next prime is 228505379. The reversal of 228505376 is 673505822.

It is not an unprimeable number, because it can be changed into a prime (228505379) 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, 18740 + ... + 28428.

It is an arithmetic number, because the mean of its divisors is an integer number (10377990).

Almost surely, 2228505376 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 228505376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249071760).

228505376 is an abundant number, since it is smaller than the sum of its proper divisors (269638144).

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

228505376 is a wasteful number, since it uses less digits than its factorization.

228505376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9777 (or 9769 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 228505376 is about 15116.3942790601. The cubic root of 228505376 is about 611.3625156045.

The spelling of 228505376 in words is "two hundred twenty-eight million, five hundred five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 134 176 268 352 536 737 1072 1474 2144 2948 5896 9689 11792 19378 23584 38756 77512 106579 155024 213158 310048 426316 649163 852632 1298326 1705264 2596652 3410528 5193304 7140793 10386608 14281586 20773216 28563172 57126344 114252688 228505376