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2200000212 = 223273698293
BaseRepresentation
bin1000001100100001…
…0101011011010100
312200022200120221100
42003020111123110
514001200001322
61002145350100
7105342456534
oct20310253324
95608616840
102200000212
11a2992a7a3
12514938330
13290a31797
1416c27b4c4
15cd21bdac
hex832156d4

2200000212 has 36 divisors (see below), whose sum is σ = 5562536980. Its totient is φ = 733145472.

The previous prime is 2200000211. The next prime is 2200000261. The reversal of 2200000212 is 2120000022.

It can be written as a sum of positive squares in 2 ways, for example, as 1324668816 + 875331396 = 36396^2 + 29586^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 2200000194 and 2200000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200000211) by changing a digit.

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, 261138 + ... + 269430.

Almost surely, 22200000212 is an apocalyptic number.

It is an amenable number.

2200000212 is an abundant number, since it is smaller than the sum of its proper divisors (3362536768).

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

2200000212 is a wasteful number, since it uses less digits than its factorization.

2200000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15672 (or 15667 counting only the distinct ones).

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

The square root of 2200000212 is about 46904.1598581618. The cubic root of 2200000212 is about 1300.5914886280.

Adding to 2200000212 its reverse (2120000022), we get a palindrome (4320000234).

The spelling of 2200000212 in words is "two billion, two hundred million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 7369 8293 14738 16586 22107 24879 29476 33172 44214 49758 66321 74637 88428 99516 132642 149274 265284 298548 61111117 122222234 183333351 244444468 366666702 550000053 733333404 1100000106 2200000212