Search a number
-
+
224246240 = 25579113157
BaseRepresentation
bin11010101110110…
…11100111100000
3120121221220000022
431113123213200
5424401334430
634130213012
75362030061
oct1527334740
9517856008
10224246240
11105643579
1263124168
13375c63aa
1421ad4568
1514a484e5
hexd5db9e0

224246240 has 96 divisors (see below), whose sum is σ = 544682880. Its totient is φ = 87220224.

The previous prime is 224246221. The next prime is 224246287. The reversal of 224246240 is 42642422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1428242 + ... + 1428398.

It is an arithmetic number, because the mean of its divisors is an integer number (5673780).

Almost surely, 2224246240 is an apocalyptic number.

224246240 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 224246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272341440).

224246240 is an abundant number, since it is smaller than the sum of its proper divisors (320436640).

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

224246240 is a wasteful number, since it uses less digits than its factorization.

224246240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 224246240 is about 14974.8535885998. The cubic root of 224246240 is about 607.5402514722.

Adding to 224246240 its reverse (42642422), we get a palindrome (266888662).

The spelling of 224246240 in words is "two hundred twenty-four million, two hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 113 157 158 160 226 314 316 395 452 565 628 632 785 790 904 1130 1256 1264 1570 1580 1808 2260 2512 2528 3140 3160 3616 4520 5024 6280 6320 8927 9040 12403 12560 12640 17741 17854 18080 24806 25120 35482 35708 44635 49612 62015 70964 71416 88705 89270 99224 124030 141928 142832 177410 178540 198448 248060 283856 285664 354820 357080 396896 496120 567712 709640 714160 992240 1401539 1419280 1428320 1984480 2803078 2838560 5606156 7007695 11212312 14015390 22424624 28030780 44849248 56061560 112123120 224246240