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22424412330 = 2335337324623
BaseRepresentation
bin10100111000100110…
…010110000010101010
32010212210111011202000
4110320212112002222
5331411122143310
614145052551430
71422461234265
oct247046260252
963783434660
1022424412330
119567aa5981
124419a82576
132164a60148
14112a29bcdc
158b3a154c0
hex5389960aa

22424412330 has 64 divisors (see below), whose sum is σ = 59818590720. Its totient is φ = 5977827648.

The previous prime is 22424412301. The next prime is 22424412331. The reversal of 22424412330 is 3321442422.

22424412330 is a `hidden beast` number, since 2 + 2 + 424 + 4 + 1 + 233 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22424412294 and 22424412303.

It is not an unprimeable number, because it can be changed into a prime (22424412331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898399 + ... + 923021.

It is an arithmetic number, because the mean of its divisors is an integer number (934665480).

Almost surely, 222424412330 is an apocalyptic number.

22424412330 is an abundant number, since it is smaller than the sum of its proper divisors (37394178390).

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

22424412330 is a wasteful number, since it uses less digits than its factorization.

22424412330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28012 (or 28006 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22424412330 its reverse (3321442422), we get a palindrome (25745854752).

The spelling of 22424412330 in words is "twenty-two billion, four hundred twenty-four million, four hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 3373 6746 10119 16865 20238 24623 30357 33730 49246 50595 60714 73869 91071 101190 123115 147738 151785 182142 221607 246230 303570 369345 443214 455355 664821 738690 910710 1108035 1329642 2216070 3324105 6648210 83053379 166106758 249160137 415266895 498320274 747480411 830533790 1245800685 1494960822 2242441233 2491601370 3737402055 4484882466 7474804110 11212206165 22424412330