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222120120220002 = 2321719283134997721
BaseRepresentation
bin110010100000010001011110…
…110111001111100101100010
31002010110110212002022211112100
4302200101132313033211202
5213103204001234020002
62104224324033511230
764533435434015514
oct6240213667174542
91063413762284470
10222120120220002
1164857683228364
1220ab444aa12516
1396c2ab6b94424
143cbc957a0dbb4
151aa2cc270411c
hexca045edcf962

222120120220002 has 96 divisors (see below), whose sum is σ = 538284516793920. Its totient is φ = 65783848965120.

The previous prime is 222120120219979. The next prime is 222120120220003. The reversal of 222120120220002 is 200022021021222.

222120120220002 is a `hidden beast` number, since 2 + 221 + 201 + 20 + 220 + 0 + 0 + 2 = 666.

222120120220002 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (222120120220003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65853499 + ... + 69144222.

It is an arithmetic number, because the mean of its divisors is an integer number (5607130383270).

Almost surely, 2222120120220002 is an apocalyptic number.

222120120220002 is an abundant number, since it is smaller than the sum of its proper divisors (316164396573918).

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

222120120220002 is a wasteful number, since it uses less digits than its factorization.

222120120220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134998048 (or 134998045 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222120120220002 its reverse (200022021021222), we get a palindrome (422142141241224).

The spelling of 222120120220002 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred twenty million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 283 306 323 342 566 646 849 969 1698 1938 2547 2907 4811 5094 5377 5814 9622 10754 14433 16131 28866 32262 43299 48393 86598 91409 96786 182818 274227 548454 822681 1645362 134997721 269995442 404993163 809986326 1214979489 2294961257 2429958978 2564956699 4589922514 5129913398 6884883771 7694870097 13769767542 15389740194 20654651313 23084610291 38204355043 41309302626 43604263883 46169220582 76408710086 87208527766 114613065129 130812791649 229226130258 261625583298 343839195387 392438374947 649474035731 687678390774 725882745817 784876749894 1298948071462 1451765491634 1948422107193 2177648237451 3896844214386 4355296474902 5845266321579 6532944712353 11690532643158 12340006678889 13065889424706 24680013357778 37020020036667 74040040073334 111060060110001 222120120220002