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2002112220 = 223564152057
BaseRepresentation
bin111011101010101…
…1100111011011100
312011112022211122110
41313111130323130
513100020042340
6530400114020
7100420446603
oct16725347334
95145284573
102002112220
1193815a5a9
1247a605910
1325ba368b4
1414dc88a3a
15bab7d680
hex7755cedc

2002112220 has 48 divisors (see below), whose sum is σ = 5614767648. Its totient is φ = 533053440.

The previous prime is 2002112209. The next prime is 2002112221. The reversal of 2002112220 is 222112002.

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 = 2002112196 and 2002112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002112221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12432 + ... + 64488.

It is an arithmetic number, because the mean of its divisors is an integer number (116974326).

Almost surely, 22002112220 is an apocalyptic number.

2002112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002112220 is an abundant number, since it is smaller than the sum of its proper divisors (3612655428).

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

2002112220 is a wasteful number, since it uses less digits than its factorization.

2002112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52710 (or 52708 counting only the distinct ones).

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

The square root of 2002112220 is about 44744.9686557047. The cubic root of 2002112220 is about 1260.3644322513.

Adding to 2002112220 its reverse (222112002), we get a palindrome (2224224222).

The spelling of 2002112220 in words is "two billion, two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 641 1282 1923 2564 3205 3846 6410 7692 9615 12820 19230 38460 52057 104114 156171 208228 260285 312342 520570 624684 780855 1041140 1561710 3123420 33368537 66737074 100105611 133474148 166842685 200211222 333685370 400422444 500528055 667370740 1001056110 2002112220