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222942301681 = 1133137146033
BaseRepresentation
bin1100111110100001100…
…1011000110111110001
3210022110020021100212111
43033220121120313301
512123041212123211
6250230203125321
722051501203631
oct3175031306761
9708406240774
10222942301681
1186605132000
123725ab13841
131803c458c08
14ab0d0706c1
155bec688421
hex33e8658df1

222942301681 has 32 divisors (see below), whose sum is σ = 259973231616. Its totient is φ = 190834617600.

The previous prime is 222942301651. The next prime is 222942301693. The reversal of 222942301681 is 186103249222.

It is not a de Polignac number, because 222942301681 - 213 = 222942293489 is a prime.

It is a super-3 number, since 3×2229423016813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (222942301601) 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, 1453641 + ... + 1599673.

It is an arithmetic number, because the mean of its divisors is an integer number (8124163488).

Almost surely, 2222942301681 is an apocalyptic number.

It is an amenable number.

222942301681 is a deficient number, since it is larger than the sum of its proper divisors (37030929935).

222942301681 is a wasteful number, since it uses less digits than its factorization.

222942301681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146134 (or 146112 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 222942301681 in words is "two hundred twenty-two billion, nine hundred forty-two million, three hundred one thousand, six hundred eighty-one".

Divisors: 1 11 31 37 121 341 407 1147 1331 3751 4477 12617 41261 49247 138787 146033 1526657 1606363 4527023 5403221 17669993 49797253 59435431 167499851 194369923 547769783 653789741 1842498361 6025467613 7191687151 20267481971 222942301681