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222123340243044 = 223310782123412269
BaseRepresentation
bin110010100000010100011110…
…110010101010000001100100
31002010110210011111100221202000
4302200110132302222001210
5213103232100100234134
62104230015342045300
764533611303532012
oct6240243662520144
91063423144327660
10222123340243044
1164858a85907329
1220ab4ba9279830
1396c31ab0239c6
143cbcb8152b8b2
151aa2e10259e99
hexca051ecaa064

222123340243044 has 96 divisors (see below), whose sum is σ = 581965350825600. Its totient is φ = 73259796044160.

The previous prime is 222123340243037. The next prime is 222123340243097. The reversal of 222123340243044 is 440342043321222.

222123340243044 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 2 + 3 + 340 + 2 + 4 + 304 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2218659 + ... + 21193610.

It is an arithmetic number, because the mean of its divisors is an integer number (6062139071100).

Almost surely, 2222123340243044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222123340243044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290982675412800).

222123340243044 is an abundant number, since it is smaller than the sum of its proper divisors (359842010582556).

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

222123340243044 is a wasteful number, since it uses less digits than its factorization.

222123340243044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23413210 (or 23413202 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 222123340243044 its reverse (440342043321222), we get a palindrome (662465383564266).

The spelling of 222123340243044 in words is "two hundred twenty-two trillion, one hundred twenty-three billion, three hundred forty million, two hundred forty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 821 963 1284 1642 1926 2463 2889 3284 3852 4926 5778 7389 9852 11556 14778 22167 29556 44334 87847 88668 175694 263541 351388 527082 790623 1054164 1581246 2371869 3162492 4743738 9487476 23412269 46824538 70236807 93649076 140473614 210710421 280947228 421420842 632131263 842841684 1264262526 2505112783 2528525052 5010225566 7515338349 10020451132 15030676698 19221472849 22546015047 30061353396 38442945698 45092030094 57664418547 67638045141 76885891396 90184060188 115328837094 135276090282 172993255641 230657674188 270552180564 345986511282 518979766923 691973022564 1037959533846 2056697594843 2075919067692 4113395189686 6170092784529 8226790379372 12340185569058 18510278353587 24680371138116 37020556707174 55530835060761 74041113414348 111061670121522 222123340243044