Search a number
-
+
12218208 = 253137929
BaseRepresentation
bin101110100110…
…111101100000
3211222202020020
4232212331200
511111440313
61113513440
7205565412
oct56467540
924882206
1012218208
1169957a2
124112880
1326ba412
1418a09b2
151115323
hexba6f60

12218208 has 48 divisors (see below), whose sum is σ = 32341680. Its totient is φ = 4038656.

The previous prime is 12218207. The next prime is 12218209. The reversal of 12218208 is 80281221.

It is an interprime number because it is at equal distance from previous prime (12218207) and next prime (12218209).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12218201) 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 7 ways as a sum of consecutive naturals, for example, 12688 + ... + 13616.

It is an arithmetic number, because the mean of its divisors is an integer number (673785).

Almost surely, 212218208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12218208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170840).

12218208 is an abundant number, since it is smaller than the sum of its proper divisors (20123472).

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

12218208 is a wasteful number, since it uses less digits than its factorization.

12218208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12218208 is about 3495.4553351459. The cubic root of 12218208 is about 230.3222200804.

Adding to 12218208 its reverse (80281221), we get a palindrome (92499429).

The spelling of 12218208 in words is "twelve million, two hundred eighteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 929 1096 1644 1858 2192 2787 3288 3716 4384 5574 6576 7432 11148 13152 14864 22296 29728 44592 89184 127273 254546 381819 509092 763638 1018184 1527276 2036368 3054552 4072736 6109104 12218208