Search a number
-
+
220499856 = 243213711177
BaseRepresentation
bin11010010010010…
…00111110010000
3120100220112221100
431021020332100
5422421443411
633514024400
75315134503
oct1511107620
9510815840
10220499856
11103514895
1261a18100
13368b40b5
14213db13a
1514558456
hexd248f90

220499856 has 60 divisors (see below), whose sum is σ = 621653292. Its totient is φ = 72956928.

The previous prime is 220499849. The next prime is 220499879. The reversal of 220499856 is 658994022.

220499856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 164249856 + 56250000 = 12816^2 + 7500^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14140 + ... + 25316.

Almost surely, 2220499856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220499856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310826646).

220499856 is an abundant number, since it is smaller than the sum of its proper divisors (401153436).

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

220499856 is a wasteful number, since it uses less digits than its factorization.

220499856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11328 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 220499856 is about 14849.2375561845. The cubic root of 220499856 is about 604.1379302850.

The spelling of 220499856 in words is "two hundred twenty million, four hundred ninety-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 1096 1233 1644 2192 2466 3288 4932 6576 9864 11177 19728 22354 33531 44708 67062 89416 100593 134124 178832 201186 268248 402372 536496 804744 1531249 1609488 3062498 4593747 6124996 9187494 12249992 13781241 18374988 24499984 27562482 36749976 55124964 73499952 110249928 220499856