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1825907220 = 2232519599049
BaseRepresentation
bin110110011010101…
…0010001000010100
311201020202200211100
41230311102020110
512214413012340
6501103310100
763150645444
oct15465221024
94636680740
101825907220
1185774a135
1242b5ab330
13231391197
141346dc124
15aa474830
hex6cd52214

1825907220 has 144 divisors (see below), whose sum is σ = 5929560000. Its totient is φ = 453413376.

The previous prime is 1825907203. The next prime is 1825907231. The reversal of 1825907220 is 227095281.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 197256 + ... + 206304.

It is an arithmetic number, because the mean of its divisors is an integer number (41177500).

Almost surely, 21825907220 is an apocalyptic number.

1825907220 is a gapful number since it is divisible by the number (10) 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 1825907220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964780000).

1825907220 is an abundant number, since it is smaller than the sum of its proper divisors (4103652780).

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

1825907220 is a wasteful number, since it uses less digits than its factorization.

1825907220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1825907220 is about 42730.6356142756. The cubic root of 1825907220 is about 1222.2486567224.

The spelling of 1825907220 in words is "one billion, eight hundred twenty-five million, nine hundred seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 59 60 76 90 95 114 118 171 177 180 190 228 236 285 295 342 354 380 531 570 590 684 708 855 885 1062 1121 1140 1180 1710 1770 2124 2242 2655 3363 3420 3540 4484 5310 5605 6726 9049 10089 10620 11210 13452 16815 18098 20178 22420 27147 33630 36196 40356 45245 50445 54294 67260 81441 90490 100890 108588 135735 162882 171931 180980 201780 271470 325764 343862 407205 515793 533891 542940 687724 814410 859655 1031586 1067782 1547379 1601673 1628820 1719310 2063172 2135564 2578965 2669455 3094758 3203346 3438620 4805019 5157930 5338910 6189516 6406692 7736895 8008365 9610038 10143929 10315860 10677820 15473790 16016730 19220076 20287858 24025095 30431787 30947580 32033460 40575716 48050190 50719645 60863574 91295361 96100380 101439290 121727148 152158935 182590722 202878580 304317870 365181444 456476805 608635740 912953610 1825907220