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2002022010 = 232522244689
BaseRepresentation
bin111011101010100…
…0110111001111010
312011112011020220100
41313111012321322
513100004201020
6530354140230
7100416622602
oct16725067172
95145136810
102002022010
119380a884a
1247a581676
1325ba04811
1414dc63c02
15bab61a90
hex77546e7a

2002022010 has 24 divisors (see below), whose sum is σ = 5205257460. Its totient is φ = 533872512.

The previous prime is 2002021999. The next prime is 2002022023. The reversal of 2002022010 is 102202002.

It can be written as a sum of positive squares in 2 ways, for example, as 1965769569 + 36252441 = 44337^2 + 6021^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2002021983 and 2002022001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11122255 + ... + 11122434.

Almost surely, 22002022010 is an apocalyptic number.

2002022010 is an abundant number, since it is smaller than the sum of its proper divisors (3203235450).

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

2002022010 is a wasteful number, since it uses less digits than its factorization.

2002022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22244702 (or 22244699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2002022010 is about 44743.9605980517. The cubic root of 2002022010 is about 1260.3455023795.

Adding to 2002022010 its reverse (102202002), we get a palindrome (2104224012).

The spelling of 2002022010 in words is "two billion, two million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 22244689 44489378 66734067 111223445 133468134 200202201 222446890 333670335 400404402 667340670 1001011005 2002022010