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2241302320 = 245198271783
BaseRepresentation
bin1000010110010111…
…1000111100110000
312210012101221210001
42011211320330300
514042233133240
61010222515344
7106353520045
oct20545707460
95705357701
102241302320
11a5017a674
12526735b54
13299462bba
1417394d1cc
15d1b7989a
hex85978f30

2241302320 has 80 divisors (see below), whose sum is σ = 5495005440. Its totient is φ = 847832832.

The previous prime is 2241302311. The next prime is 2241302341. The reversal of 2241302320 is 232031422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 1256149 + ... + 1257931.

It is an arithmetic number, because the mean of its divisors is an integer number (68687568).

Almost surely, 22241302320 is an apocalyptic number.

2241302320 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 2241302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747502720).

2241302320 is an abundant number, since it is smaller than the sum of its proper divisors (3253703120).

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

2241302320 is a wasteful number, since it uses less digits than its factorization.

2241302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2241302320 is about 47342.3945317513. The cubic root of 2241302320 is about 1308.6800448951.

Adding to 2241302320 its reverse (232031422), we get a palindrome (2473333742).

The spelling of 2241302320 in words is "two billion, two hundred forty-one million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 827 1520 1654 1783 3308 3566 4135 6616 7132 8270 8915 13232 14264 15713 16540 17830 28528 31426 33080 33877 35660 62852 66160 67754 71320 78565 125704 135508 142640 157130 169385 251408 271016 314260 338770 542032 628520 677540 1257040 1355080 1474541 2710160 2949082 5898164 7372705 11796328 14745410 23592656 28016279 29490820 56032558 58981640 112065116 117963280 140081395 224130232 280162790 448260464 560325580 1120651160 2241302320