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228868248 = 23376720333
BaseRepresentation
bin11011010010001…
…00000010011000
3120221122201012210
431221010002120
5432042240443
634413235120
75446230240
oct1551040230
9527581183
10228868248
11108210114
1264792aa0
13385540cb
1422578b20
151515cc33
hexda44098

228868248 has 64 divisors (see below), whose sum is σ = 663701760. Its totient is φ = 64411776.

The previous prime is 228868223. The next prime is 228868249. The reversal of 228868248 is 842868822.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 228868197 and 228868206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228868249) 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, 1090 + ... + 21422.

It is an arithmetic number, because the mean of its divisors is an integer number (10370340).

Almost surely, 2228868248 is an apocalyptic number.

228868248 is a gapful number since it is divisible by the number (28) 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 228868248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331850880).

228868248 is an abundant number, since it is smaller than the sum of its proper divisors (434833512).

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

228868248 is a wasteful number, since it uses less digits than its factorization.

228868248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20416 (or 20412 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 228868248 is about 15128.3921154893. The cubic root of 228868248 is about 611.6859638806.

It can be divided in two parts, 2288682 and 48, that added together give a triangular number (2288730 = T2139).

The spelling of 228868248 in words is "two hundred twenty-eight million, eight hundred sixty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 5628 11256 20333 40666 60999 81332 121998 142331 162664 243996 284662 426993 487992 569324 853986 1138648 1362311 1707972 2724622 3415944 4086933 5449244 8173866 9536177 10898488 16347732 19072354 28608531 32695464 38144708 57217062 76289416 114434124 228868248