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224828488820 = 2251313727123291
BaseRepresentation
bin1101000101100011010…
…0100111110001110100
3210111022200110121012102
43101120310213301310
512140422043120240
6251141302441232
722146313423535
oct3213064476164
9714280417172
10224828488820
1187392903351
12376a6733218
1318280164590
14ac4b78068c
155cad068815
hex3458d27c74

224828488820 has 96 divisors (see below), whose sum is σ = 514081645056. Its totient is φ = 82100044800.

The previous prime is 224828488817. The next prime is 224828488823. The reversal of 224828488820 is 28884828422.

It is a happy number.

224828488820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224828488817) and next prime (224828488823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224828488823) by changing a digit.

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, 9641375 + ... + 9664665.

It is an arithmetic number, because the mean of its divisors is an integer number (5355017136).

Almost surely, 2224828488820 is an apocalyptic number.

224828488820 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 224828488820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257040822528).

224828488820 is an abundant number, since it is smaller than the sum of its proper divisors (289253156236).

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

224828488820 is a wasteful number, since it uses less digits than its factorization.

224828488820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23721 (or 23719 counting only the distinct ones).

The product of its (nonzero) digits is 8388608, while the sum is 56.

The spelling of 224828488820 in words is "two hundred twenty-four billion, eight hundred twenty-eight million, four hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 271 274 542 548 685 1084 1355 1370 1781 2710 2740 3523 3562 5420 7046 7124 8905 14092 17615 17810 23291 35230 35620 37127 46582 70460 74254 93164 116455 148508 185635 232910 302783 371270 465820 482651 605566 742540 965302 1211132 1513915 1930604 2413255 3027830 3190867 4826510 6055660 6311861 6381734 9653020 12623722 12763468 15954335 25247444 31559305 31908670 41481271 63118610 63817340 82054193 82962542 126237220 164108386 165925084 207406355 328216772 410270965 414812710 820541930 829625420 864724957 1641083860 1729449914 3458899828 4323624785 8647249570 11241424441 17294499140 22482848882 44965697764 56207122205 112414244410 224828488820