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224343433242 = 233191811208057
BaseRepresentation
bin1101000011101111101…
…0010010000000011010
3210110001212202020001000
43100323322102000122
512133423404330432
6251021214205430
722131303501405
oct3207372220032
9713055666030
10224343433242
1187164023975
12375901b3876
1318203812746
14ac03198d3c
155c806a357c
hex343be9201a

224343433242 has 64 divisors (see below), whose sum is σ = 527679734400. Its totient is φ = 70453825920.

The previous prime is 224343433241. The next prime is 224343433247. The reversal of 224343433242 is 242334343422.

224343433242 is a `hidden beast` number, since 2 + 243 + 4 + 343 + 32 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 224343433197 and 224343433206.

It is not an unprimeable number, because it can be changed into a prime (224343433241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418323 + ... + 789734.

It is an arithmetic number, because the mean of its divisors is an integer number (8244995850).

Almost surely, 2224343433242 is an apocalyptic number.

224343433242 is an abundant number, since it is smaller than the sum of its proper divisors (303336301158).

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

224343433242 is a wasteful number, since it uses less digits than its factorization.

224343433242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208268 (or 1208262 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

Adding to 224343433242 its reverse (242334343422), we get a palindrome (466677776664).

The spelling of 224343433242 in words is "two hundred twenty-four billion, three hundred forty-three million, four hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 181 342 362 513 543 1026 1086 1629 3258 3439 4887 6878 9774 10317 20634 30951 61902 92853 185706 1208057 2416114 3624171 7248342 10872513 21745026 22953083 32617539 45906166 65235078 68859249 137718498 206577747 218658317 413155494 437316634 619733241 655974951 1239466482 1311949902 1967924853 3935849706 4154508023 5903774559 8309016046 11807549118 12463524069 24927048138 37390572207 74781144414 112171716621 224343433242