Search a number
-
+
228381216 = 25371931577
BaseRepresentation
bin11011001110011…
…01001000100000
3120220201222010120
431213031020200
5431431144331
634355000240
75442131310
oct1547151040
9526658116
10228381216
11107a08208
1264599080
133841351b
142248d440
15150b3796
hexd9cd220

228381216 has 192 divisors, whose sum is σ = 745758720. Its totient is φ = 59719680.

The previous prime is 228381203. The next prime is 228381217. The reversal of 228381216 is 612183822.

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 (228381217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395520 + ... + 396096.

It is an arithmetic number, because the mean of its divisors is an integer number (3884160).

Almost surely, 2228381216 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 228381216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372879360).

228381216 is an abundant number, since it is smaller than the sum of its proper divisors (517377504).

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

228381216 is a wasteful number, since it uses less digits than its factorization.

228381216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 639 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 228381216 is about 15112.2869215748. The cubic root of 228381216 is about 611.2517661719.

The spelling of 228381216 in words is "two hundred twenty-eight million, three hundred eighty-one thousand, two hundred sixteen".