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22124220330 = 2354131357467
BaseRepresentation
bin10100100110101101…
…001100111110101010
32010002212121211201210
4110212231030332222
5330302300022310
614055210453550
71412154525042
oct244655147652
963085554653
1022124220330
119423600213
1243554342b6
1321177c5b44
1410dc478722
158974b9820
hex526b4cfaa

22124220330 has 64 divisors (see below), whose sum is σ = 54567934848. Its totient is φ = 5737405440.

The previous prime is 22124220323. The next prime is 22124220341. The reversal of 22124220330 is 3302242122.

It is a super-2 number, since 2×221242203302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22124220297 and 22124220306.

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 31 ways as a sum of consecutive naturals, for example, 356257 + ... + 413723.

It is an arithmetic number, because the mean of its divisors is an integer number (852623982).

Almost surely, 222124220330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22124220330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27283967424).

22124220330 is an abundant number, since it is smaller than the sum of its proper divisors (32443714518).

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

22124220330 is a wasteful number, since it uses less digits than its factorization.

22124220330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57831.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22124220330 its reverse (3302242122), we get a palindrome (25426462452).

The spelling of 22124220330 in words is "twenty-two billion, one hundred twenty-four million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 313 410 615 626 939 1230 1565 1878 3130 4695 9390 12833 25666 38499 57467 64165 76998 114934 128330 172401 192495 287335 344802 384990 574670 862005 1724010 2356147 4712294 7068441 11780735 14136882 17987171 23561470 35342205 35974342 53961513 70684410 89935855 107923026 179871710 269807565 539615130 737474011 1474948022 2212422033 3687370055 4424844066 7374740110 11062110165 22124220330