Search a number
-
+
222202122200020 = 225475932459162109
BaseRepresentation
bin110010100001011101110110…
…100011111110001111010100
31002010202022111221112000211101
4302201131312203332033110
5213111024421240400040
62104330125024515444
764542400505236534
oct6241356643761724
91063668457460741
10222202122200020
1164889433203686
1220b0831517bb84
1396ca7549b78b1
143cc28d65db4c4
151aa4ec182709a
hexca17768fe3d4

222202122200020 has 96 divisors (see below), whose sum is σ = 477553338662400. Its totient is φ = 86807220701184.

The previous prime is 222202122199961. The next prime is 222202122200021. The reversal of 222202122200020 is 20002221202222.

It is a super-3 number, since 3×2222021222000203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222202122200021) 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, 1370614726 + ... + 1370776834.

It is an arithmetic number, because the mean of its divisors is an integer number (4974513944400).

Almost surely, 2222202122200020 is an apocalyptic number.

222202122200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222202122200020 is an abundant number, since it is smaller than the sum of its proper divisors (255351216462380).

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

222202122200020 is a wasteful number, since it uses less digits than its factorization.

222202122200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165217 (or 165215 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 222202122200020 its reverse (20002221202222), we get a palindrome (242204343402242).

The spelling of 222202122200020 in words is "two hundred twenty-two trillion, two hundred two billion, one hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 593 940 1186 2372 2459 2965 4918 5930 9836 11860 12295 24590 27871 49180 55742 111484 115573 139355 162109 231146 278710 324218 462292 557420 577865 648436 810545 1155730 1458187 1621090 2311460 2916374 3242180 5832748 7290935 7619123 14581870 15238246 29163740 30476492 38095615 68534789 76191230 96130637 137069578 152382460 192261274 274139156 342673945 384522548 398626031 480653185 685347890 797252062 961306370 1370695780 1594504124 1922612740 1993130155 3986260310 4518139939 7972520620 9036279878 18072559756 18735423457 22590699695 37470846914 45181399390 74941693828 90362798780 93677117285 187354234570 236385236383 374708469140 472770472766 945540945532 1181926181915 2363852363830 4727704727660 11110106110001 22220212220002 44440424440004 55550530550005 111101061100010 222202122200020