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244125240 = 233519910223
BaseRepresentation
bin11101000110100…
…00111000111000
3122000100211212120
432203100320320
5444444001430
640120241240
76023013252
oct1643207070
9560324776
10244125240
111158909a7
1269910220
133b766708
14245cacd2
1516673610
hexe8d0e38

244125240 has 64 divisors (see below), whose sum is σ = 736128000. Its totient is φ = 64766592.

The previous prime is 244125239. The next prime is 244125293. The reversal of 244125240 is 42521442.

It is a happy number.

244125240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 244125240.

It is a congruent number.

It is an unprimeable number.

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, 18769 + ... + 28991.

It is an arithmetic number, because the mean of its divisors is an integer number (11502000).

Almost surely, 2244125240 is an apocalyptic number.

244125240 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 244125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368064000).

244125240 is an abundant number, since it is smaller than the sum of its proper divisors (492002760).

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

244125240 is a wasteful number, since it uses less digits than its factorization.

244125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10436 (or 10432 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 244125240 is about 15624.5076722436. The cubic root of 244125240 is about 624.9868711909.

Adding to 244125240 its reverse (42521442), we get a palindrome (286646682).

The spelling of 244125240 in words is "two hundred forty-four million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3980 4776 5970 7960 10223 11940 20446 23880 30669 40892 51115 61338 81784 102230 122676 153345 204460 245352 306690 408920 613380 1226760 2034377 4068754 6103131 8137508 10171885 12206262 16275016 20343770 24412524 30515655 40687540 48825048 61031310 81375080 122062620 244125240