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2241225260 = 2251779181461
BaseRepresentation
bin1000010110010110…
…0110001000101100
312210012021001001222
42011211212020230
514042223202020
61010221122512
7106353046301
oct20545461054
95705231058
102241225260
11a5012778a
125266b9438
13299436ac1
1417392d0a8
15d1b61b25
hex8596622c

2241225260 has 96 divisors (see below), whose sum is σ = 5085400320. Its totient is φ = 826675200.

The previous prime is 2241225251. The next prime is 2241225347. The reversal of 2241225260 is 625221422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4861430 + ... + 4861890.

It is an arithmetic number, because the mean of its divisors is an integer number (52972920).

Almost surely, 22241225260 is an apocalyptic number.

2241225260 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 2241225260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542700160).

2241225260 is an abundant number, since it is smaller than the sum of its proper divisors (2844175060).

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

2241225260 is a wasteful number, since it uses less digits than its factorization.

2241225260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2241225260 is about 47341.5806664712. The cubic root of 2241225260 is about 1308.6650464663.

Adding to 2241225260 its reverse (625221422), we get a palindrome (2866446682).

The spelling of 2241225260 in words is "two billion, two hundred forty-one million, two hundred twenty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 79 85 158 170 181 316 340 362 395 461 724 790 905 922 1343 1580 1810 1844 2305 2686 3077 3620 4610 5372 6154 6715 7837 9220 12308 13430 14299 15385 15674 26860 28598 30770 31348 36419 39185 57196 61540 71495 72838 78370 83441 142990 145676 156740 166882 182095 243083 285980 333764 364190 417205 486166 619123 728380 834410 972332 1215415 1238246 1418497 1668820 2430830 2476492 2836994 3095615 4861660 5673988 6191230 6591839 7092485 12382460 13183678 14184970 26367356 28369940 32959195 65918390 112061263 131836780 224122526 448245052 560306315 1120612630 2241225260