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23224240 = 24513137163
BaseRepresentation
bin101100010010…
…1111110110000
31121200220200001
41120211332300
521421133430
62145435344
7401255104
oct130457660
947626601
1023224240
1112122796
12793bb54
134a71b70
143127904
15208b3ca
hex1625fb0

23224240 has 80 divisors (see below), whose sum is σ = 58933728. Its totient is φ = 8460288.

The previous prime is 23224231. The next prime is 23224241. The reversal of 23224240 is 4242232.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (23224241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142399 + ... + 142561.

Almost surely, 223224240 is an apocalyptic number.

23224240 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 23224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29466864).

23224240 is an abundant number, since it is smaller than the sum of its proper divisors (35709488).

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

23224240 is a wasteful number, since it uses less digits than its factorization.

23224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

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

The square root of 23224240 is about 4819.1534526305. The cubic root of 23224240 is about 285.3079261351.

Adding to 23224240 its reverse (4242232), we get a palindrome (27466472).

The spelling of 23224240 in words is "twenty-three million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 137 163 208 260 274 326 520 548 652 685 815 1040 1096 1304 1370 1630 1781 2119 2192 2608 2740 3260 3562 4238 5480 6520 7124 8476 8905 10595 10960 13040 14248 16952 17810 21190 22331 28496 33904 35620 42380 44662 71240 84760 89324 111655 142480 169520 178648 223310 290303 357296 446620 580606 893240 1161212 1451515 1786480 2322424 2903030 4644848 5806060 11612120 23224240