Search a number
-
+
102212208 = 24327313271
BaseRepresentation
bin1100001011110…
…10001001110000
321010022220210100
412011322021300
5202131242313
614050432400
72350534530
oct605721160
9233286710
10102212208
11527725aa
122a292700
13182396c7
14d8094c0
158e90173
hex617a270

102212208 has 120 divisors (see below), whose sum is σ = 337565696. Its totient is φ = 28252800.

The previous prime is 102212141. The next prime is 102212213. The reversal of 102212208 is 802212201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29613 + ... + 32883.

Almost surely, 2102212208 is an apocalyptic number.

102212208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168782848).

102212208 is an abundant number, since it is smaller than the sum of its proper divisors (235353488).

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

102212208 is a wasteful number, since it uses less digits than its factorization.

102212208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102212208 is about 10110.0053412449. The cubic root of 102212208 is about 467.5566698058.

Adding to 102212208 its reverse (802212201), we get a palindrome (904424409).

The spelling of 102212208 in words is "one hundred two million, two hundred twelve thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3271 3472 3906 4464 5208 6542 7812 9813 10416 13084 15624 19626 22897 26168 29439 31248 39252 45794 52336 58878 68691 78504 91588 101401 117756 137382 157008 183176 202802 206073 235512 274764 304203 366352 405604 412146 471024 549528 608406 709807 811208 824292 912609 1099056 1216812 1419614 1622416 1648584 1825218 2129421 2433624 2839228 3297168 3650436 4258842 4867248 5678456 6388263 7300872 8517684 11356912 12776526 14601744 17035368 25553052 34070736 51106104 102212208