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22620906 = 23271119859
BaseRepresentation
bin101011001001…
…0101011101010
31120120021001100
41112102223222
521242332111
62124502230
7363163110
oct126225352
946507040
1022620906
1111850470
1276aa976
1348c0369
14300bab0
151ebc756
hex1592aea

22620906 has 96 divisors (see below), whose sum is σ = 64396800. Its totient is φ = 5559840.

The previous prime is 22620901. The next prime is 22620911. The reversal of 22620906 is 60902622.

It is an interprime number because it is at equal distance from previous prime (22620901) and next prime (22620911).

It is a self number, because there is not a number n which added to its sum of digits gives 22620906.

It is not an unprimeable number, because it can be changed into a prime (22620901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25905 + ... + 26763.

It is an arithmetic number, because the mean of its divisors is an integer number (670800).

Almost surely, 222620906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22620906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32198400).

22620906 is an abundant number, since it is smaller than the sum of its proper divisors (41775894).

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

22620906 is a wasteful number, since it uses less digits than its factorization.

22620906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 22620906 is about 4756.1440264147. The cubic root of 22620906 is about 282.8155807139.

The spelling of 22620906 in words is "twenty-two million, six hundred twenty thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 859 1197 1254 1386 1463 1718 1881 2394 2577 2926 3762 4389 5154 6013 7731 8778 9449 12026 13167 15462 16321 18039 18898 26334 28347 32642 36078 48963 54117 56694 66143 85041 97926 108234 114247 132286 146889 170082 179531 198429 228494 293778 342741 359062 396858 538593 595287 685482 1028223 1077186 1190574 1256717 1615779 2056446 2513434 3231558 3770151 7540302 11310453 22620906