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1000004022 = 23317411632
BaseRepresentation
bin111011100110101…
…101100110110110
32120200200110122000
4323212231212312
54022000112042
6243121320130
733531615423
oct7346554666
92520613560
101000004022
11473526906
1223aa96046
1312c23bc74
1496b4cd4a
155cbd274c
hex3b9ad9b6

1000004022 has 96 divisors (see below), whose sum is σ = 2425217760. Its totient is φ = 304197120.

The previous prime is 1000003999. The next prime is 1000004023. The reversal of 1000004022 is 2204000001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000003995 and 1000004013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000004023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6134913 + ... + 6135075.

It is an arithmetic number, because the mean of its divisors is an integer number (25262685).

Almost surely, 21000004022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000004022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212608880).

1000004022 is an abundant number, since it is smaller than the sum of its proper divisors (1425213738).

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

1000004022 is a wasteful number, since it uses less digits than its factorization.

1000004022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1000004022 is about 31622.8401950236. The cubic root of 1000004022 is about 1000.0013406649.

Adding to 1000004022 its reverse (2204000001), we get a palindrome (3204004023).

The spelling of 1000004022 in words is "one billion, four thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 82 102 123 153 163 246 306 326 369 459 489 697 738 918 978 1107 1394 1467 2091 2214 2771 2934 4182 4401 5542 6273 6683 8313 8802 12546 13366 16626 18819 20049 24939 26569 37638 40098 49878 53138 60147 74817 79707 113611 120294 149634 159414 180441 227222 239121 340833 360882 451673 478242 681666 717363 903346 1022499 1089329 1355019 1434726 2044998 2178658 2710038 3067497 3267987 4065057 6134994 6535974 8130114 9803961 12195171 18518593 19607922 24390342 29411883 37037186 55555779 58823766 111111558 166667337 333334674 500002011 1000004022