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24310244020 = 22531210971153
BaseRepresentation
bin10110101001000000…
…001110001010110100
32022202020000100111011
4112221000032022310
5344241410302040
615100140522004
71520300443666
oct265100161264
968666010434
1024310244020
11a345554167
124865550304
1323a5672a9a
141268918536
159743753ea
hex5a900e2b4

24310244020 has 72 divisors (see below), whose sum is σ = 52845338952. Its totient is φ = 9393684480.

The previous prime is 24310244017. The next prime is 24310244027. The reversal of 24310244020 is 2044201342.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3099816976 + 21210427044 = 55676^2 + 145638^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24310243982 and 24310244000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24310244027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21083764 + ... + 21084916.

It is an arithmetic number, because the mean of its divisors is an integer number (733963041).

Almost surely, 224310244020 is an apocalyptic number.

24310244020 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 24310244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26422669476).

24310244020 is an abundant number, since it is smaller than the sum of its proper divisors (28535094932).

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

24310244020 is a wasteful number, since it uses less digits than its factorization.

24310244020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 24310244020 its reverse (2044201342), we get a palindrome (26354445362).

The spelling of 24310244020 in words is "twenty-four billion, three hundred ten million, two hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1097 1153 1922 2194 2306 3844 4388 4612 4805 5485 5765 9610 10970 11530 19220 21940 23060 34007 35743 68014 71486 136028 142972 170035 178715 340070 357430 680140 714860 1054217 1108033 1264841 2108434 2216066 2529682 4216868 4432132 5059364 5271085 5540165 6324205 10542170 11080330 12648410 21084340 22160660 25296820 39210071 78420142 156840284 196050355 392100710 784201420 1215512201 2431024402 4862048804 6077561005 12155122010 24310244020