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224222404434 = 237173109101009
BaseRepresentation
bin1101000011010010110…
…0100101111101010010
3210102202110000022201120
43100310230211331102
512133201413420214
6251001212143110
722125303663630
oct3206454457522
9712673008646
10224222404434
118710177a166
1237557767a96
13181b4718472
14abd1092350
155c74c47ea9
hex3434b25f52

224222404434 has 64 divisors (see below), whose sum is σ = 542835820800. Its totient is φ = 60275109888.

The previous prime is 224222404433. The next prime is 224222404481. The reversal of 224222404434 is 434404222422.

It is a happy number.

224222404434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224222404395 and 224222404404.

It is not an unprimeable number, because it can be changed into a prime (224222404433) 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 31 ways as a sum of consecutive naturals, for example, 2169322 + ... + 2270330.

It is an arithmetic number, because the mean of its divisors is an integer number (8481809700).

Almost surely, 2224222404434 is an apocalyptic number.

224222404434 is an abundant number, since it is smaller than the sum of its proper divisors (318613416366).

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

224222404434 is a wasteful number, since it uses less digits than its factorization.

224222404434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104147.

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 224222404434 its reverse (434404222422), we get a palindrome (658626626856).

The spelling of 224222404434 in words is "two hundred twenty-four billion, two hundred twenty-two million, four hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 3109 6218 9327 18654 21763 43526 52853 65289 101009 105706 130578 158559 202018 303027 317118 369971 606054 707063 739942 1109913 1414126 1717153 2121189 2219826 3434306 4242378 5151459 10302918 12020071 24040142 36060213 72120426 314036981 628073962 942110943 1884221886 2198258867 4396517734 5338628677 6594776601 10677257354 13189553202 16015886031 32031772062 37370400739 74740801478 112111202217 224222404434