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216304650 = 232522320899
BaseRepresentation
bin11001110010010…
…00110000001010
3120002000102012100
430321020300022
5420333222100
633244054230
75234362542
oct1471106012
9502012170
10216304650
11101109981
1260534376
1335a75723
1420a28322
1513eca400
hexce48c0a

216304650 has 72 divisors (see below), whose sum is σ = 606434400. Its totient is φ = 55170720.

The previous prime is 216304637. The next prime is 216304657. The reversal of 216304650 is 56403612.

216304650 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 0 + 4 + 650 = 666.

It is a super-2 number, since 2×2163046502 = 93575403223245000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216304657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100 + ... + 20799.

It is an arithmetic number, because the mean of its divisors is an integer number (8422700).

Almost surely, 2216304650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216304650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303217200).

216304650 is an abundant number, since it is smaller than the sum of its proper divisors (390129750).

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

216304650 is a wasteful number, since it uses less digits than its factorization.

216304650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20940 (or 20932 counting only the distinct ones).

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

The square root of 216304650 is about 14707.2992082163. The cubic root of 216304650 is about 600.2819508188.

The spelling of 216304650 in words is "two hundred sixteen million, three hundred four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 5175 10350 20899 41798 62697 104495 125394 188091 208990 313485 376182 480677 522475 626970 940455 961354 1044950 1442031 1567425 1880910 2403385 2884062 3134850 4326093 4702275 4806770 7210155 8652186 9404550 12016925 14420310 21630465 24033850 36050775 43260930 72101550 108152325 216304650