Search a number
-
+
212521216 = 2817471039
BaseRepresentation
bin11001010101011…
…01000100000000
3112210220012022011
430222231010000
5413401134331
633031022304
75160254245
oct1452550400
9483805264
10212521216
11a9a65376
125b20a994
133504c5cb
14203215cc
15139ce3b1
hexcaad100

212521216 has 72 divisors (see below), whose sum is σ = 459164160. Its totient is φ = 97787904.

The previous prime is 212521201. The next prime is 212521249. The reversal of 212521216 is 612125212.

It is an alternating number because its digits alternate between even and odd.

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, 204025 + ... + 205063.

It is an arithmetic number, because the mean of its divisors is an integer number (6377280).

Almost surely, 2212521216 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 212521216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229582080).

212521216 is an abundant number, since it is smaller than the sum of its proper divisors (246642944).

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

212521216 is a wasteful number, since it uses less digits than its factorization.

212521216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1105 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 212521216 is about 14578.1074217472. The cubic root of 212521216 is about 596.7614548631.

Adding to 212521216 its reverse (612125212), we get a palindrome (824646428).

The spelling of 212521216 in words is "two hundred twelve million, five hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 256 272 376 544 752 799 1039 1088 1504 1598 2078 2176 3008 3196 4156 4352 6016 6392 8312 12032 12784 16624 17663 25568 33248 35326 48833 51136 66496 70652 97666 102272 132992 141304 195332 204544 265984 282608 390664 565216 781328 830161 1130432 1562656 1660322 2260864 3125312 3320644 4521728 6250624 6641288 12501248 13282576 26565152 53130304 106260608 212521216