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2010222120 = 233517985403
BaseRepresentation
bin111011111010001…
…1000111000101000
312012002120212100010
41313310120320220
513104104101440
6531250011520
7100546414614
oct16764307050
95162525303
102010222120
119417996a5
12481276ba0
1326061605a
14150d9a344
15bb731580
hex77d18e28

2010222120 has 64 divisors (see below), whose sum is σ = 6385417920. Its totient is φ = 504525824.

The previous prime is 2010222119. The next prime is 2010222133. The reversal of 2010222120 is 212220102.

2010222120 is digitally balanced in base 4, because in such base 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 2010222096 and 2010222105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490662 + ... + 494741.

It is an arithmetic number, because the mean of its divisors is an integer number (99772155).

Almost surely, 22010222120 is an apocalyptic number.

2010222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010222120 is an abundant number, since it is smaller than the sum of its proper divisors (4375195800).

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

2010222120 is a wasteful number, since it uses less digits than its factorization.

2010222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985434 (or 985430 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2010222120 is about 44835.5006663247. The cubic root of 2010222120 is about 1262.0639139557.

Adding to 2010222120 its reverse (212220102), we get a palindrome (2222442222).

The spelling of 2010222120 in words is "two billion, ten million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 985403 1970806 2956209 3941612 4927015 5912418 7883224 9854030 11824836 14781045 16751851 19708060 23649672 29562090 33503702 39416120 50255553 59124180 67007404 83759255 100511106 118248360 134014808 167518510 201022212 251277765 335037020 402044424 502555530 670074040 1005111060 2010222120