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216221850 = 2325213231607
BaseRepresentation
bin11001110001101…
…00100010011010
3120001212012121200
430320310202122
5420323044400
633242215030
75233566255
oct1470644232
9501765550
10216221850
11101062749
12604b4476
1335a46b30
1420a0609c
1513eb0b00
hexce3489a

216221850 has 144 divisors (see below), whose sum is σ = 653208192. Its totient is φ = 50878080.

The previous prime is 216221849. The next prime is 216221857. The reversal of 216221850 is 58122612.

It is a happy number.

216221850 is a `hidden beast` number, since 21 + 622 + 18 + 5 + 0 = 666.

216221850 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (216221857) 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 71 ways as a sum of consecutive naturals, for example, 133747 + ... + 135353.

It is an arithmetic number, because the mean of its divisors is an integer number (4536168).

Almost surely, 2216221850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216221850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326604096).

216221850 is an abundant number, since it is smaller than the sum of its proper divisors (436986342).

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

216221850 is a wasteful number, since it uses less digits than its factorization.

216221850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 216221850 is about 14704.4840099882. The cubic root of 216221850 is about 600.2053463801.

The spelling of 216221850 in words is "two hundred sixteen million, two hundred twenty-one thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 25 26 30 39 45 46 50 65 69 75 78 90 115 117 130 138 150 195 207 225 230 234 299 325 345 390 414 450 575 585 598 650 690 897 975 1035 1150 1170 1495 1607 1725 1794 1950 2070 2691 2925 2990 3214 3450 4485 4821 5175 5382 5850 7475 8035 8970 9642 10350 13455 14463 14950 16070 20891 22425 24105 26910 28926 36961 40175 41782 44850 48210 62673 67275 72315 73922 80350 104455 110883 120525 125346 134550 144630 184805 188019 208910 221766 241050 313365 332649 361575 369610 376038 480493 522275 554415 626730 665298 723150 924025 940095 960986 1044550 1108830 1441479 1566825 1663245 1848050 1880190 2402465 2772075 2882958 3133650 3326490 4324437 4700475 4804930 5544150 7207395 8316225 8648874 9400950 12012325 14414790 16632450 21622185 24024650 36036975 43244370 72073950 108110925 216221850