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1002004220 = 225753831627
BaseRepresentation
bin111011101110010…
…101111011111100
32120211110002101102
4323232111323330
54023003113340
6243232232232
733554616050
oct7356257374
92524402342
101002004220
11474672668
1223b69b678
1312c78c509
149710dc60
155ce7a215
hex3bb95efc

1002004220 has 96 divisors (see below), whose sum is σ = 2481228288. Its totient is φ = 332796672.

The previous prime is 1002004181. The next prime is 1002004243. The reversal of 1002004220 is 224002001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615047 + ... + 616673.

It is an arithmetic number, because the mean of its divisors is an integer number (25846128).

Almost surely, 21002004220 is an apocalyptic number.

1002004220 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 1002004220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240614144).

1002004220 is an abundant number, since it is smaller than the sum of its proper divisors (1479224068).

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

1002004220 is a wasteful number, since it uses less digits than its factorization.

1002004220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1002004220 is about 31654.4502400531. The cubic root of 1002004220 is about 1000.6676275077.

Adding to 1002004220 its reverse (224002001), we get a palindrome (1226006221).

The spelling of 1002004220 in words is "one billion, two million, four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 83 106 140 166 212 265 332 371 415 530 581 742 830 1060 1162 1484 1627 1660 1855 2324 2905 3254 3710 4399 5810 6508 7420 8135 8798 11389 11620 16270 17596 21995 22778 30793 32540 43990 45556 56945 61586 86231 87980 113890 123172 135041 153965 172462 227780 270082 307930 344924 431155 540164 603617 615860 675205 862310 945287 1207234 1350410 1724620 1890574 2414468 2700820 3018085 3781148 4726435 6036170 7157173 9452870 12072340 14314346 18905740 28628692 35785865 50100211 71571730 100200422 143143460 200400844 250501055 501002110 1002004220