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228184848 = 2432672353
BaseRepresentation
bin11011001100111…
…01001100010000
3120220100222202200
431212131030100
5431403403343
634350443200
75440352643
oct1546351420
9526328680
10228184848
11107893721
1264503500
1338375028
142243ba5a
15150754d3
hexd99d310

228184848 has 90 divisors (see below), whose sum is σ = 650110734. Its totient is φ = 74714112.

The previous prime is 228184843. The next prime is 228184867. The reversal of 228184848 is 848481822.

It can be written as a sum of positive squares in only one way, i.e., 186814224 + 41370624 = 13668^2 + 6432^2 .

It is a super-4 number, since 4×2281848484 (a number of 35 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228184843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 646240 + ... + 646592.

Almost surely, 2228184848 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 228184848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325055367).

228184848 is an abundant number, since it is smaller than the sum of its proper divisors (421925886).

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

228184848 is a wasteful number, since it uses less digits than its factorization.

228184848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 425 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 228184848 is about 15105.7885593570. The cubic root of 228184848 is about 611.0765259791.

The spelling of 228184848 in words is "two hundred twenty-eight million, one hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 353 402 536 603 706 804 1059 1072 1206 1412 1608 2118 2412 2824 3177 3216 4236 4489 4824 5648 6354 8472 8978 9648 12708 13467 16944 17956 23651 25416 26934 35912 40401 47302 50832 53868 70953 71824 80802 94604 107736 141906 161604 189208 212859 215472 283812 323208 378416 425718 567624 646416 851436 1135248 1584617 1702872 3169234 3405744 4753851 6338468 9507702 12676936 14261553 19015404 25353872 28523106 38030808 57046212 76061616 114092424 228184848