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222122201120 = 2556791204427
BaseRepresentation
bin1100111011011110000…
…0111101000000100000
3210020100002002221101122
43032313200331000200
512114401240413440
6250012545351412
722022252362121
oct3166740750040
9706302087348
10222122201120
1186224212346
1237070338568
1317c3b588c01
14aa72192048
155ba06907b5
hex33b783d020

222122201120 has 48 divisors (see below), whose sum is σ = 524843540928. Its totient is φ = 88835362560.

The previous prime is 222122201117. The next prime is 222122201123. The reversal of 222122201120 is 21102221222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (222122201117) and next prime (222122201123).

It is a super-3 number, since 3×2221222011203 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (222122201123) 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 7 ways as a sum of consecutive naturals, for example, 984347 + ... + 1188773.

It is an arithmetic number, because the mean of its divisors is an integer number (10934240436).

Almost surely, 2222122201120 is an apocalyptic number.

222122201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222122201120 is an abundant number, since it is smaller than the sum of its proper divisors (302721339808).

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

222122201120 is a wasteful number, since it uses less digits than its factorization.

222122201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211233 (or 211225 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222122201120 its reverse (21102221222), we get a palindrome (243224422342).

The spelling of 222122201120 in words is "two hundred twenty-two billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 6791 13582 27164 33955 54328 67910 108656 135820 204427 217312 271640 408854 543280 817708 1022135 1086560 1635416 2044270 3270832 4088540 6541664 8177080 16354160 32708320 1388263757 2776527514 5553055028 6941318785 11106110056 13882637570 22212220112 27765275140 44424440224 55530550280 111061100560 222122201120