Search a number
-
+
224030520 = 233257194679
BaseRepresentation
bin11010101101001…
…10111100111000
3120121112221002200
431112212330320
5424322434040
634121430200
75360141130
oct1526467470
9517487080
10224030520
1110550649a
126303b360
133754c14c
1421a79ac0
1514a04630
hexd5a6f38

224030520 has 192 divisors, whose sum is σ = 876096000. Its totient is φ = 48501504.

The previous prime is 224030509. The next prime is 224030549. The reversal of 224030520 is 25030422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224030493 and 224030502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45541 + ... + 50219.

It is an arithmetic number, because the mean of its divisors is an integer number (4563000).

Almost surely, 2224030520 is an apocalyptic number.

224030520 is a gapful number since it is divisible by the number (20) 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 224030520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438048000).

224030520 is an abundant number, since it is smaller than the sum of its proper divisors (652065480).

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

224030520 is a wasteful number, since it uses less digits than its factorization.

224030520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 224030520 is about 14967.6491140058. The cubic root of 224030520 is about 607.3453754724.

Adding to 224030520 its reverse (25030422), we get a palindrome (249060942).

The spelling of 224030520 in words is "two hundred twenty-four million, thirty thousand, five hundred twenty".