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1000773225 = 3452192372
BaseRepresentation
bin111011101001101…
…001011001101001
32120202010112210000
4323221221121221
54022144220400
6243150013213
733541301124
oct7351513151
92522115700
101000773225
11473a01811
1223b1a7209
1312c44b10a
1496cad3bb
155ccd5600
hex3ba69669

1000773225 has 135 divisors (see below), whose sum is σ = 2010787317. Its totient is φ = 491987520.

The previous prime is 1000773203. The next prime is 1000773233. The reversal of 1000773225 is 5223770001.

The square root of 1000773225 is 31635.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 95004009 + 905769216 = 9747^2 + 30096^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2k-1000773225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 27047907 + ... + 27047943.

Almost surely, 21000773225 is an apocalyptic number.

1000773225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1000773225 is the 31635-th square number.

1000773225 is the 15818-th centered octagonal number.

It is an amenable number.

1000773225 is an abundant number, since it is smaller than the sum of its proper divisors (1010014092).

1000773225 is an equidigital number, since it uses as much as digits as its factorization.

1000773225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The cubic root of 1000773225 is about 1000.2576752644.

The spelling of 1000773225 in words is "one billion, seven hundred seventy-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 37 45 57 75 81 95 111 135 171 185 225 285 333 361 405 475 513 555 675 703 855 925 999 1083 1369 1425 1539 1665 1805 2025 2109 2565 2775 2997 3249 3515 4107 4275 4995 5415 6327 6845 7695 8325 9025 9747 10545 12321 12825 13357 14985 16245 17575 18981 20535 24975 26011 27075 29241 31635 34225 36963 38475 40071 48735 52725 56943 61605 66785 74925 78033 81225 94905 102675 110889 120213 130055 146205 158175 184815 200355 234099 243675 284715 308025 333925 360639 390165 474525 494209 554445 601065 650275 702297 731025 924075 1001775 1081917 1170495 1423575 1482627 1803195 1950825 2106891 2471045 2772225 3005325 3511485 4447881 5409585 5852475 7413135 9015975 10534455 12355225 13343643 17557425 22239405 27047925 37065675 40030929 52672275 66718215 111197025 200154645 333591075 1000773225