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224331443442 = 23223201537169
BaseRepresentation
bin1101000011101100110…
…0100010110011110010
3210110001001012002010100
43100323030202303302
512133412322142232
6251020105213230
722131066543621
oct3207314426362
9713031162110
10224331443442
1187158284847
1237588191216
13182011a52a2
14ac017576b8
155c7e5d5c7c
hex343b322cf2

224331443442 has 24 divisors (see below), whose sum is σ = 486073315260. Its totient is φ = 74773785600.

The previous prime is 224331443419. The next prime is 224331443447. The reversal of 224331443442 is 244344133422.

224331443442 is a `hidden beast` number, since 2 + 243 + 31 + 44 + 344 + 2 = 666.

224331443442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 179099086401 + 45232357041 = 423201^2 + 212679^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224331443397 and 224331443406.

It is not an unprimeable number, because it can be changed into a prime (224331443447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149034 + ... + 686202.

Almost surely, 2224331443442 is an apocalyptic number.

224331443442 is an abundant number, since it is smaller than the sum of its proper divisors (261741871818).

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

224331443442 is a wasteful number, since it uses less digits than its factorization.

224331443442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560378 (or 560375 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 224331443442 its reverse (244344133422), we get a palindrome (468675576864).

The spelling of 224331443442 in words is "two hundred twenty-four billion, three hundred thirty-one million, four hundred forty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23201 46402 69603 139206 208809 417618 537169 1074338 1611507 3223014 4834521 9669042 12462857969 24925715938 37388573907 74777147814 112165721721 224331443442