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220200948 = 2232114631201
BaseRepresentation
bin11010001111111…
…11111111110100
3120100100100220200
431013333333310
5422332412243
633503400500
75312451162
oct1507777764
9510310820
10220200948
11103330260
12618b3130
133680b026
1421360232
15144e9ad3
hexd1ffff4

220200948 has 72 divisors (see below), whose sum is σ = 609038976. Its totient is φ = 66528000.

The previous prime is 220200947. The next prime is 220200989. The reversal of 220200948 is 849002022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220200943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182748 + ... + 183948.

Almost surely, 2220200948 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 220200948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304519488).

220200948 is an abundant number, since it is smaller than the sum of its proper divisors (388838028).

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

220200948 is a wasteful number, since it uses less digits than its factorization.

220200948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 220200948 is about 14839.1693837627. The cubic root of 220200948 is about 603.8648185112.

The spelling of 220200948 in words is "two hundred twenty million, two hundred thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 463 926 1201 1389 1852 2402 2778 3603 4167 4804 5093 5556 7206 8334 10186 10809 13211 14412 15279 16668 20372 21618 26422 30558 39633 43236 45837 52844 61116 79266 91674 118899 158532 183348 237798 475596 556063 1112126 1668189 2224252 3336378 5004567 6116693 6672756 10009134 12233386 18350079 20018268 24466772 36700158 55050237 73400316 110100474 220200948