Search a number
-
+
224165216 = 25113120543
BaseRepresentation
bin11010101110001…
…11110101100000
3120121210202212102
431113013311200
5424341241331
634124345532
75361241622
oct1527076540
9517722772
10224165216
11105598710
12630a52a8
1337598552
1421ab2c12
1514a2e4cb
hexd5c7d60

224165216 has 48 divisors (see below), whose sum is σ = 497000448. Its totient is φ = 98601600.

The previous prime is 224165197. The next prime is 224165233. The reversal of 224165216 is 612561422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641 + ... + 21183.

It is an arithmetic number, because the mean of its divisors is an integer number (10354176).

Almost surely, 2224165216 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 224165216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248500224).

224165216 is an abundant number, since it is smaller than the sum of its proper divisors (272835232).

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

224165216 is a wasteful number, since it uses less digits than its factorization.

224165216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20595 (or 20587 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 224165216 is about 14972.1480088864. The cubic root of 224165216 is about 607.4670710981.

The spelling of 224165216 in words is "two hundred twenty-four million, one hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 10912 20543 41086 82172 164344 225973 328688 451946 636833 657376 903892 1273666 1807784 2547332 3615568 5094664 7005163 7231136 10189328 14010326 20378656 28020652 56041304 112082608 224165216