Search a number
-
+
1212216 = 23353953
BaseRepresentation
bin100100111111100111000
32021120211220
410213330320
5302242331
641552040
713206105
oct4477470
92246756
101212216
11758835
124a5620
133359b5
14237aac
1518e296
hex127f38

1212216 has 32 divisors (see below), whose sum is σ = 3090960. Its totient is φ = 396032.

The previous prime is 1212199. The next prime is 1212221. The reversal of 1212216 is 6122121.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1212195 and 1212204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 796 + ... + 1748.

21212216 is an apocalyptic number.

1212216 is the 636-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545480).

1212216 is an abundant number, since it is smaller than the sum of its proper divisors (1878744).

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

1212216 is a wasteful number, since it uses less digits than its factorization.

1212216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1011 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 1212216 is about 1101.0068119680. The cubic root of 1212216 is about 106.6252356457.

Subtracting from 1212216 its sum of digits (15), we obtain a square (1212201 = 11012).

Adding to 1212216 its reverse (6122121), we get a palindrome (7334337).

The spelling of 1212216 in words is "one million, two hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 953 1272 1906 2859 3812 5718 7624 11436 22872 50509 101018 151527 202036 303054 404072 606108 1212216