Search a number
-
+
23240224 = 257172359
BaseRepresentation
bin101100010100…
…1111000100000
31121201201121001
41120221320200
521422141344
62150041344
7401352520
oct130517040
947651531
1023240224
11121337a7
127949254
134a79217
14312d680
152090ed4
hex1629e20

23240224 has 72 divisors (see below), whose sum is σ = 55702080. Its totient is φ = 9348096.

The previous prime is 23240213. The next prime is 23240227. The reversal of 23240224 is 42204232.

It is not an unprimeable number, because it can be changed into a prime (23240227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64557 + ... + 64915.

It is an arithmetic number, because the mean of its divisors is an integer number (773640).

Almost surely, 223240224 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 23240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27851040).

23240224 is an abundant number, since it is smaller than the sum of its proper divisors (32461856).

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

23240224 is a wasteful number, since it uses less digits than its factorization.

23240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 23240224 is about 4820.8115499364. The cubic root of 23240224 is about 285.3733651775.

Adding to 23240224 its reverse (42204232), we get a palindrome (65444456).

The spelling of 23240224 in words is "twenty-three million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 289 359 476 544 578 718 952 1156 1436 1904 2023 2312 2513 2872 3808 4046 4624 5026 5744 6103 8092 9248 10052 11488 12206 16184 20104 24412 32368 40208 42721 48824 64736 80416 85442 97648 103751 170884 195296 207502 341768 415004 683536 726257 830008 1367072 1452514 1660016 2905028 3320032 5810056 11620112 23240224