Search a number
-
+
5221200 = 2435219229
BaseRepresentation
bin10011111010101101010000
3100211021010210
4103322231100
52314034300
6303524120
762244105
oct23725520
910737123
105221200
112a46846
1218b9640
13110a68a
1499caac
156d2050
hex4fab50

5221200 has 120 divisors (see below), whose sum is σ = 17682400. Its totient is φ = 1313280.

The previous prime is 5221199. The next prime is 5221211. The reversal of 5221200 is 21225.

5221200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 22686 + ... + 22914.

Almost surely, 25221200 is an apocalyptic number.

5221200 is a gapful number since it is divisible by the number (50) 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 5221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841200).

5221200 is an abundant number, since it is smaller than the sum of its proper divisors (12461200).

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

5221200 is a wasteful number, since it uses less digits than its factorization.

5221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5221200 is about 2284.9945295339. The cubic root of 5221200 is about 173.4829411814.

Adding to 5221200 its reverse (21225), we get a palindrome (5242425).

The spelling of 5221200 in words is "five million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 229 240 285 300 304 380 400 456 458 475 570 600 687 760 912 916 950 1140 1145 1200 1374 1425 1520 1832 1900 2280 2290 2748 2850 3435 3664 3800 4351 4560 4580 5496 5700 5725 6870 7600 8702 9160 10992 11400 11450 13053 13740 17175 17404 18320 21755 22800 22900 26106 27480 34350 34808 43510 45800 52212 54960 65265 68700 69616 87020 91600 104424 108775 130530 137400 174040 208848 217550 261060 274800 326325 348080 435100 522120 652650 870200 1044240 1305300 1740400 2610600 5221200