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244312252220 = 225412818291279
BaseRepresentation
bin1110001110001000100…
…1010001111100111100
3212100121112121022222002
43203202021101330330
513000322414032340
6304122511241432
723436166610501
oct3434211217474
9770545538862
10244312252220
1194680996153
123b423819278
131a0668c096a
14bb792854a8
15654d810715
hex38e2251f3c

244312252220 has 96 divisors (see below), whose sum is σ = 528488755200. Its totient is φ = 94813286400.

The previous prime is 244312252193. The next prime is 244312252243. The reversal of 244312252220 is 22252213442.

It is a happy number.

244312252220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191017541 + ... + 191018819.

It is an arithmetic number, because the mean of its divisors is an integer number (5505091200).

Almost surely, 2244312252220 is an apocalyptic number.

244312252220 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 244312252220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264244377600).

244312252220 is an abundant number, since it is smaller than the sum of its proper divisors (284176502980).

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

244312252220 is a wasteful number, since it uses less digits than its factorization.

244312252220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 244312252220 its reverse (22252213442), we get a palindrome (266564465662).

The spelling of 244312252220 in words is "two hundred forty-four billion, three hundred twelve million, two hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 281 410 562 820 829 1124 1279 1405 1658 2558 2810 3316 4145 5116 5620 6395 8290 11521 12790 16580 23042 25580 33989 46084 52439 57605 67978 104878 115210 135956 169945 209756 230420 232949 262195 339890 359399 465898 524390 679780 718798 931796 1048780 1060291 1164745 1437596 1796995 2120582 2329490 3593990 4241164 4658980 5301455 7187980 9550909 10602910 14735359 19101818 21205820 29470718 38203636 43471931 47754545 58941436 73676795 86943862 95509090 147353590 173887724 191018180 217359655 294707180 297941771 434719310 595883542 869438620 1191767084 1489708855 2979417710 5958835420 12215612611 24431225222 48862450444 61078063055 122156126110 244312252220