Search a number
-
+
224880016 = 242321632
BaseRepresentation
bin11010110011101…
…10010110010000
3120200011002101111
431121312112100
5430032130031
634151543104
75400306604
oct1531662620
9520132344
10224880016
11105a36759
126338aa94
13377889ca
1421c1b504
1514b211b1
hexd676590

224880016 has 45 divisors (see below), whose sum is σ = 458283819. Its totient is φ = 106891488.

The previous prime is 224880013. The next prime is 224880017. The reversal of 224880016 is 610088422.

The square root of 224880016 is 14996.

It is a perfect power (a square), and thus also a powerful number.

224880016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 224880016.

It is not an unprimeable number, because it can be changed into a prime (224880013) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1379551 + ... + 1379713.

Almost surely, 2224880016 is an apocalyptic number.

224880016 is the 14996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224880016

224880016 is an abundant number, since it is smaller than the sum of its proper divisors (233403803).

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

224880016 is an equidigital number, since it uses as much as digits as its factorization.

224880016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The cubic root of 224880016 is about 608.1120667156.

The spelling of 224880016 in words is "two hundred twenty-four million, eight hundred eighty thousand, sixteen".

Divisors: 1 2 4 8 16 23 46 92 163 184 326 368 529 652 1058 1304 2116 2608 3749 4232 7498 8464 14996 26569 29992 53138 59984 86227 106276 172454 212552 344908 425104 611087 689816 1222174 1379632 2444348 4888696 9777392 14055001 28110002 56220004 112440008 224880016