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24114220 = 22513163569
BaseRepresentation
bin101101111111…
…1010000101100
31200101010111021
41123333100230
522133123340
62220503524
7411652564
oct133772054
950333437
1024114220
1112680409
1280aaba4
134cc3c90
1432b9da4
1521b4e4a
hex16ff42c

24114220 has 48 divisors (see below), whose sum is σ = 54966240. Its totient is φ = 8833536.

The previous prime is 24114217. The next prime is 24114221. The reversal of 24114220 is 2241142.

It is a junction number, because it is equal to n+sod(n) for n = 24114194 and 24114203.

It is not an unprimeable number, because it can be changed into a prime (24114221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42096 + ... + 42664.

It is an arithmetic number, because the mean of its divisors is an integer number (1145130).

Almost surely, 224114220 is an apocalyptic number.

24114220 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 24114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27483120).

24114220 is an abundant number, since it is smaller than the sum of its proper divisors (30852020).

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

24114220 is a wasteful number, since it uses less digits than its factorization.

24114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 24114220 is about 4910.6231783756. The cubic root of 24114220 is about 288.9067837918.

Adding to 24114220 its reverse (2241142), we get a palindrome (26355362).

It can be divided in two parts, 24 and 114220, that added together give a square (114244 = 3382).

The spelling of 24114220 in words is "twenty-four million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 326 569 652 815 1138 1630 2119 2276 2845 3260 4238 5690 7397 8476 10595 11380 14794 21190 29588 36985 42380 73970 92747 147940 185494 370988 463735 927470 1205711 1854940 2411422 4822844 6028555 12057110 24114220