Search a number
-
+
23303280 = 24357111397
BaseRepresentation
bin101100011100…
…1010001110000
31121211221002110
41120321101300
521431201110
62151245320
7402034410
oct130712160
947757073
1023303280
1112177110
127979840
134a9bb30
143148640
1520a4a20
hex1639470

23303280 has 320 divisors, whose sum is σ = 97993728. Its totient is φ = 4423680.

The previous prime is 23303263. The next prime is 23303297. The reversal of 23303280 is 8230332.

It is an interprime number because it is at equal distance from previous prime (23303263) and next prime (23303297).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240192 + ... + 240288.

Almost surely, 223303280 is an apocalyptic number.

23303280 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 23303280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48996864).

23303280 is an abundant number, since it is smaller than the sum of its proper divisors (74690448).

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

23303280 is a wasteful number, since it uses less digits than its factorization.

23303280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 23303280 is about 4827.3470975268. The cubic root of 23303280 is about 285.6312263325.

It can be divided in two parts, 23 and 303280, that added together give a palindrome (303303).

The spelling of 23303280 in words is "twenty-three million, three hundred three thousand, two hundred eighty".