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22231211220 = 22325735712963
BaseRepresentation
bin10100101101000101…
…010101110011010100
32010101022221112122100
4110231011111303110
5331012142224340
614113552002100
71414624114611
oct245505256324
963338845570
1022231211220
119478a37039
124385230330
132133a1666a
14110c769508
158a1aa0830
hex52d155cd4

22231211220 has 144 divisors (see below), whose sum is σ = 68501264832. Its totient is φ = 5834903040.

The previous prime is 22231211159. The next prime is 22231211227. The reversal of 22231211220 is 2211213222.

22231211220 is a `hidden beast` number, since 2 + 2 + 231 + 211 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22231211193 and 22231211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22231211227) 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 47 ways as a sum of consecutive naturals, for example, 7501459 + ... + 7504421.

It is an arithmetic number, because the mean of its divisors is an integer number (475703228).

Almost surely, 222231211220 is an apocalyptic number.

22231211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22231211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34250632416).

22231211220 is an abundant number, since it is smaller than the sum of its proper divisors (46270053612).

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

22231211220 is a wasteful number, since it uses less digits than its factorization.

22231211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22231211220 its reverse (2211213222), we get a palindrome (24442424442).

The spelling of 22231211220 in words is "twenty-two billion, two hundred thirty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 571 657 730 876 1095 1142 1314 1460 1713 2190 2284 2628 2855 2963 3285 3426 4380 5139 5710 5926 6570 6852 8565 8889 10278 11420 11852 13140 14815 17130 17778 20556 25695 26667 29630 34260 35556 41683 44445 51390 53334 59260 83366 88890 102780 106668 125049 133335 166732 177780 208415 216299 250098 266670 375147 416830 432598 500196 533340 625245 648897 750294 833660 865196 1081495 1250490 1297794 1500588 1691873 1875735 1946691 2162990 2500980 2595588 3244485 3383746 3751470 3893382 4325980 5075619 6488970 6767492 7502940 7786764 8459365 9733455 10151238 12977940 15226857 16918730 19466910 20302476 25378095 30453714 33837460 38933820 50756190 60907428 76134285 101512380 123506729 152268570 247013458 304537140 370520187 494026916 617533645 741040374 1111560561 1235067290 1482080748 1852600935 2223121122 2470134580 3705201870 4446242244 5557802805 7410403740 11115605610 22231211220