Search a number
-
+
4224502240 = 25574191997
BaseRepresentation
bin1111101111001100…
…1100100111100000
3101220102010221121221
43323303030213200
532122433032430
61535105424424
7206454451030
oct37363144740
911812127557
104224502240
111878692072
1299a93b114
135242a748a
142c10b38c0
1519ad1e57a
hexfbccc9e0

4224502240 has 96 divisors (see below), whose sum is σ = 11684481984. Its totient is φ = 1413058560.

The previous prime is 4224502231. The next prime is 4224502241. The reversal of 4224502240 is 422054224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224502241) 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, 79 + ... + 91918.

It is an arithmetic number, because the mean of its divisors is an integer number (121713354).

Almost surely, 24224502240 is an apocalyptic number.

4224502240 is a gapful number since it is divisible by the number (40) 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 4224502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842240992).

4224502240 is an abundant number, since it is smaller than the sum of its proper divisors (7459979744).

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

4224502240 is a wasteful number, since it uses less digits than its factorization.

4224502240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92060 (or 92052 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 4224502240 is about 64996.1709641422. The cubic root of 4224502240 is about 1616.5600736513.

Adding to 4224502240 its reverse (422054224), we get a palindrome (4646556464).

The spelling of 4224502240 in words is "four billion, two hundred twenty-four million, five hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 560 574 656 820 1120 1148 1312 1435 1640 2296 2870 3280 4592 5740 6560 9184 11480 22960 45920 91997 183994 367988 459985 643979 735976 919970 1287958 1471952 1839940 2575916 2943904 3219895 3679880 3771877 5151832 6439790 7359760 7543754 10303664 12879580 14719520 15087508 18859385 20607328 25759160 26403139 30175016 37718770 51518320 52806278 60350032 75437540 103036640 105612556 120700064 132015695 150875080 211225112 264031390 301750160 422450224 528062780 603500320 844900448 1056125560 2112251120 4224502240