Search a number
-
+
216623250 = 23253432239
BaseRepresentation
bin11001110100101…
…10100010010010
3120002121121020100
430322112202102
5420423421000
633254553230
75240160444
oct1472264222
9502547210
10216623250
11101307288
1260668816
1335b5774c
1420aac494
151403ea00
hexce96892

216623250 has 96 divisors (see below), whose sum is σ = 599639040. Its totient is φ = 56397600.

The previous prime is 216623249. The next prime is 216623273. The reversal of 216623250 is 52326612.

216623250 is a `hidden beast` number, since 2 + 16 + 623 + 25 + 0 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95631 + ... + 97869.

It is an arithmetic number, because the mean of its divisors is an integer number (6246240).

Almost surely, 2216623250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216623250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299819520).

216623250 is an abundant number, since it is smaller than the sum of its proper divisors (383015790).

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

216623250 is a wasteful number, since it uses less digits than its factorization.

216623250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 216623250 is about 14718.1265791540. The cubic root of 216623250 is about 600.5765291794.

Adding to 216623250 its reverse (52326612), we get a palindrome (268949862).

The spelling of 216623250 in words is "two hundred sixteen million, six hundred twenty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 125 129 150 215 225 250 258 375 387 430 450 645 750 774 1075 1125 1290 1935 2150 2239 2250 3225 3870 4478 5375 6450 6717 9675 10750 11195 13434 16125 19350 20151 22390 32250 33585 40302 48375 55975 67170 96277 96750 100755 111950 167925 192554 201510 279875 288831 335850 481385 503775 559750 577662 839625 866493 962770 1007550 1444155 1679250 1732986 2406925 2518875 2888310 4332465 4813850 5037750 7220775 8664930 12034625 14441550 21662325 24069250 36103875 43324650 72207750 108311625 216623250