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220220022022 = 2711313909091
BaseRepresentation
bin1100110100011000100…
…0101101110100000110
3210001102111211020012221
43031012020231310012
512102002311201042
6245100115202554
721624154205350
oct3150610556406
9701374736187
10220220022022
1185438509000
123681b2a645a
13179c7471550
14a9316bc0d0
155add6a1d67
hex334622dd06

220220022022 has 64 divisors (see below), whose sum is σ = 447185991168. Its totient is φ = 79199920800.

The previous prime is 220220021981. The next prime is 220220022037.

It is a happy number.

220220022022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220220021987 and 220220022005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 212304 + ... + 696787.

It is an arithmetic number, because the mean of its divisors is an integer number (6987281112).

Almost surely, 2220220022022 is an apocalyptic number.

220220022022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220220022022 is an abundant number, since it is smaller than the sum of its proper divisors (226965969146).

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

220220022022 is a wasteful number, since it uses less digits than its factorization.

220220022022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909146 (or 909124 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

It can be divided in two parts, 2202200 and 22022, that multiplied together give a square (48496848400 = 2202202).

The spelling of 220220022022 in words is "two hundred twenty billion, two hundred twenty million, twenty-two thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1331 1573 1694 2002 2662 3146 9317 11011 17303 18634 22022 34606 121121 242242 909091 1818182 6363637 10000001 11818183 12727274 20000002 23636366 70000007 82727281 110000011 130000013 140000014 165454562 220000022 260000026 770000077 910000091 1210000121 1430000143 1540000154 1820000182 2420000242 2860000286 8470000847 10010001001 15730001573 16940001694 20020002002 31460003146 110110011011 220220022022