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22423134006 = 23271343931183
BaseRepresentation
bin10100111000100001…
…011101111100110110
32010212201002020012200
4110320201131330312
5331410310242011
614145005325330
71422444331350
oct247041357466
963781066180
1022423134006
119567302509
124419566846
132164703340
14112a0480d0
158b3861856
hex53885df36

22423134006 has 96 divisors (see below), whose sum is σ = 59933153280. Its totient is φ = 5900133312.

The previous prime is 22423133959. The next prime is 22423134037. The reversal of 22423134006 is 60043132422.

22423134006 is a `hidden beast` number, since 2 + 24 + 231 + 3 + 400 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 703491 + ... + 734673.

It is an arithmetic number, because the mean of its divisors is an integer number (624303680).

Almost surely, 222423134006 is an apocalyptic number.

22423134006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22423134006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29966576640).

22423134006 is an abundant number, since it is smaller than the sum of its proper divisors (37510019274).

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

22423134006 is a wasteful number, since it uses less digits than its factorization.

22423134006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31650 (or 31647 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22423134006 its reverse (60043132422), we get a palindrome (82466266428).

The spelling of 22423134006 in words is "twenty-two billion, four hundred twenty-three million, one hundred thirty-four thousand, six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 439 546 819 878 1317 1638 2634 3073 3951 5707 6146 7902 9219 11414 17121 18438 27657 31183 34242 39949 51363 55314 62366 79898 93549 102726 119847 187098 218281 239694 280647 359541 405379 436562 561294 654843 719082 810758 1216137 1309686 1964529 2432274 2837653 3648411 3929058 5675306 7296822 8512959 13689337 17025918 25538877 27378674 41068011 51077754 82136022 95825359 123204033 177961381 191650718 246408066 287476077 355922762 533884143 574952154 862428231 1067768286 1245729667 1601652429 1724856462 2491459334 3203304858 3737189001 7474378002 11211567003 22423134006