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1004000022 = 2349076833
BaseRepresentation
bin111011110101111…
…101001100010110
32120222012111010000
4323311331030112
54024011000042
6243343112130
733610600524
oct7365751426
92528174100
101004000022
11475806093
122402a2646
1313000aa6c
14974ad314
155d22174c
hex3bd7d316

1004000022 has 40 divisors (see below), whose sum is σ = 2252513736. Its totient is φ = 334248768.

The previous prime is 1004000017. The next prime is 1004000027. The reversal of 1004000022 is 2200004001.

It is an interprime number because it is at equal distance from previous prime (1004000017) and next prime (1004000027).

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 = 1003999968 and 1004000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004000027) 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 19 ways as a sum of consecutive naturals, for example, 143518 + ... + 150350.

Almost surely, 21004000022 is an apocalyptic number.

1004000022 is an abundant number, since it is smaller than the sum of its proper divisors (1248513714).

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

1004000022 is an equidigital number, since it uses as much as digits as its factorization.

1004000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754 (or 7745 counting only the distinct ones).

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

The square root of 1004000022 is about 31685.9593826666. The cubic root of 1004000022 is about 1001.3315668095.

Adding to 1004000022 its reverse (2200004001), we get a palindrome (3204004023).

The spelling of 1004000022 in words is "one billion, four million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 81 162 907 1814 2721 5442 6833 8163 13666 16326 20499 24489 40998 48978 61497 73467 122994 146934 184491 368982 553473 1106946 6197531 12395062 18592593 37185186 55777779 111555558 167333337 334666674 502000011 1004000022