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2000204661 = 3713311271861
BaseRepresentation
bin111011100111000…
…1011001101110101
312011101201220222010
41313032023031311
513044023022121
6530251154433
7100365313320
oct16716131565
95141656863
102000204661
11937077404
12479a45a19
1325b519570
1414d90d7b7
15ba903376
hex7738b375

2000204661 has 64 divisors (see below), whose sum is σ = 3416784896. Its totient is φ = 1012435200.

The previous prime is 2000204629. The next prime is 2000204671. The reversal of 2000204661 is 1664020002.

It is a happy number.

It is not a de Polignac number, because 2000204661 - 25 = 2000204629 is a prime.

It is a super-2 number, since 2×20002046612 = 8001637371772249842, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000204621) 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 63 ways as a sum of consecutive naturals, for example, 1073871 + ... + 1075731.

It is an arithmetic number, because the mean of its divisors is an integer number (53387264).

Almost surely, 22000204661 is an apocalyptic number.

2000204661 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2000204661 is a deficient number, since it is larger than the sum of its proper divisors (1416580235).

2000204661 is a wasteful number, since it uses less digits than its factorization.

2000204661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2000204661 is about 44723.6476710029. The cubic root of 2000204661 is about 1259.9640245460.

Adding to 2000204661 its reverse (1664020002), we get a palindrome (3664224663).

The spelling of 2000204661 in words is "two billion, two hundred four thousand, six hundred sixty-one".

Divisors: 1 3 7 13 21 31 39 91 93 127 217 273 381 403 651 889 1209 1651 1861 2667 2821 3937 4953 5583 8463 11557 11811 13027 24193 27559 34671 39081 51181 57691 72579 82677 153543 169351 173073 236347 358267 403837 508053 709041 749983 1074801 1211511 1654429 2249949 3072511 4963287 5249881 7326757 9217533 15749643 21507577 21980271 51287299 64522731 95247841 153861897 285743523 666734887 2000204661