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2002211380 = 2251317452989
BaseRepresentation
bin111011101010111…
…0101001000110100
312011112111212200001
41313111311020310
513100031231010
6530402201044
7100421341651
oct16725651064
95145455601
102002211380
11938218054
1247a653184
1325ba6ca80
1414dcb2c28
15bab9cc3a
hex77575234

2002211380 has 48 divisors (see below), whose sum is σ = 4794446160. Its totient is φ = 695789568.

The previous prime is 2002211311. The next prime is 2002211381. The reversal of 2002211380 is 831122002.

It can be written as a sum of positive squares in 8 ways, for example, as 39012516 + 1963198864 = 6246^2 + 44308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002211381) 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 15 ways as a sum of consecutive naturals, for example, 222075 + ... + 230914.

It is an arithmetic number, because the mean of its divisors is an integer number (99884295).

Almost surely, 22002211380 is an apocalyptic number.

2002211380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002211380 is an abundant number, since it is smaller than the sum of its proper divisors (2792234780).

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

2002211380 is a wasteful number, since it uses less digits than its factorization.

2002211380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453028 (or 453026 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2002211380 is about 44746.0766995275. The cubic root of 2002211380 is about 1260.3852395555.

Adding to 2002211380 its reverse (831122002), we get a palindrome (2833333382).

It can be divided in two parts, 200221 and 1380, that added together give a square (201601 = 4492).

The spelling of 2002211380 in words is "two billion, two million, two hundred eleven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 452989 905978 1811956 2264945 4529890 5888857 7700813 9059780 11777714 15401626 23555428 29444285 30803252 38504065 58888570 77008130 100110569 117777140 154016260 200221138 400442276 500552845 1001105690 2002211380