Search a number
-
+
216204450 = 235271118719
BaseRepresentation
bin11001110001100…
…00010010100010
3120001211022202020
430320300102202
5420322020300
633242002310
75233464450
oct1470602242
9501738666
10216204450
11101050670
12604a6396
1335a3bc37
14209dd9d0
1513eaa8a0
hexce304a2

216204450 has 96 divisors (see below), whose sum is σ = 668528640. Its totient is φ = 44923200.

The previous prime is 216204449. The next prime is 216204467. The reversal of 216204450 is 54402612.

It is a self number, because there is not a number n which added to its sum of digits gives 216204450.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2191 + ... + 20909.

It is an arithmetic number, because the mean of its divisors is an integer number (6963840).

Almost surely, 2216204450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216204450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334264320).

216204450 is an abundant number, since it is smaller than the sum of its proper divisors (452324190).

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

216204450 is a wasteful number, since it uses less digits than its factorization.

216204450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18752 (or 18747 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 216204450 is about 14703.8923418257. The cubic root of 216204450 is about 600.1892458593.

The spelling of 216204450 in words is "two hundred sixteen million, two hundred four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 150 154 165 175 210 231 275 330 350 385 462 525 550 770 825 1050 1155 1650 1925 2310 3850 5775 11550 18719 37438 56157 93595 112314 131033 187190 205909 262066 280785 393099 411818 467975 561570 617727 655165 786198 935950 1029545 1235454 1310330 1403925 1441363 1965495 2059090 2807850 2882726 3088635 3275825 3930990 4324089 5147725 6177270 6551650 7206815 8648178 9827475 10295450 14413630 15443175 19654950 21620445 30886350 36034075 43240890 72068150 108102225 216204450