Search a number
-
+
2226200616 = 233241754133
BaseRepresentation
bin1000010010110001…
…0010000000101000
312202010222201010200
42010230102000220
514024401404431
61004523112200
7106111251543
oct20454220050
95663881120
102226200616
11a426a5522
12521672660
132962a6193
1417193b85a
15d0694ee6
hex84b12028

2226200616 has 48 divisors (see below), whose sum is σ = 6176357460. Its totient is φ = 723966720.

The previous prime is 2226200579. The next prime is 2226200617. The reversal of 2226200616 is 6160026222.

2226200616 is a `hidden beast` number, since 2 + 2 + 26 + 20 + 0 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1660236516 + 565964100 = 40746^2 + 23790^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2226200616.

It is not an unprimeable number, because it can be changed into a prime (2226200617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374115 + ... + 380018.

Almost surely, 22226200616 is an apocalyptic number.

It is an amenable number.

2226200616 is an abundant number, since it is smaller than the sum of its proper divisors (3950156844).

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

2226200616 is a wasteful number, since it uses less digits than its factorization.

2226200616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754186 (or 754179 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2226200616 is about 47182.6304480791. The cubic root of 2226200616 is about 1305.7341603818.

Adding to 2226200616 its reverse (6160026222), we get a palindrome (8386226838).

The spelling of 2226200616 in words is "two billion, two hundred twenty-six million, two hundred thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 754133 1508266 2262399 3016532 4524798 6033064 6787197 9049596 13574394 18099192 27148788 30919453 54297576 61838906 92758359 123677812 185516718 247355624 278275077 371033436 556550154 742066872 1113100308 2226200616