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2002002212 = 227217600841
BaseRepresentation
bin111011101010100…
…0010000100100100
312011112010020202002
41313111002010210
513100003032322
6530353504432
7100416511100
oct16725020444
95145106662
102002002212
11938094991
1247a572118
1325b9c87c2
1414dc5a900
15bab5ac92
hex77542124

2002002212 has 36 divisors (see below), whose sum is σ = 4315247244. Its totient is φ = 807528960.

The previous prime is 2002002199. The next prime is 2002002251. The reversal of 2002002212 is 2122002002.

It can be written as a sum of positive squares in 2 ways, for example, as 1768707136 + 233295076 = 42056^2 + 15274^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2002002193 and 2002002202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297089 + ... + 303752.

It is an arithmetic number, because the mean of its divisors is an integer number (119867979).

Almost surely, 22002002212 is an apocalyptic number.

It is an amenable number.

2002002212 is an abundant number, since it is smaller than the sum of its proper divisors (2313245032).

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

2002002212 is a wasteful number, since it uses less digits than its factorization.

2002002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600876 (or 600867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2002002212 is about 44743.7393609430. The cubic root of 2002002212 is about 1260.3413478460.

Adding to 2002002212 its reverse (2122002002), we get a palindrome (4124004214).

It can be divided in two parts, 2002002 and 212, that multiplied together give a palindrome (424424424).

The spelling of 2002002212 in words is "two billion, two million, two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 3332 600841 1201682 2403364 4205887 8411774 10214297 16823548 20428594 29441209 40857188 58882418 71500079 117764836 143000158 286000316 500500553 1001001106 2002002212