Search a number
-
+
224208852 = 223717197797
BaseRepresentation
bin11010101110100…
…10011111010100
3120121212222201120
431113102133110
5424344140402
634125323540
75361513060
oct1527223724
9517788646
10224208852
1110561847a
12631065b0
13375b237a
1421ac4aa0
1514a3c3bc
hexd5d27d4

224208852 has 96 divisors (see below), whose sum is σ = 637072128. Its totient is φ = 59910144.

The previous prime is 224208823. The next prime is 224208913. The reversal of 224208852 is 258802422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280918 + ... + 281714.

It is an arithmetic number, because the mean of its divisors is an integer number (6636168).

Almost surely, 2224208852 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 224208852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318536064).

224208852 is an abundant number, since it is smaller than the sum of its proper divisors (412863276).

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

224208852 is a wasteful number, since it uses less digits than its factorization.

224208852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 224208852 is about 14973.6051771108. The cubic root of 224208852 is about 607.5064850533.

The spelling of 224208852 in words is "two hundred twenty-four million, two hundred eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 197 204 238 357 394 476 591 714 788 797 1182 1379 1428 1594 2364 2391 2758 3188 3349 4137 4782 5516 5579 6698 8274 9564 10047 11158 13396 13549 16548 16737 20094 22316 23443 27098 33474 40188 40647 46886 54196 66948 70329 81294 93772 94843 140658 157009 162588 189686 281316 284529 314018 379372 471027 569058 628036 942054 1099063 1138116 1884108 2198126 2669153 3297189 4396252 5338306 6594378 8007459 10676612 13188756 16014918 18684071 32029836 37368142 56052213 74736284 112104426 224208852