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220010661 = 3413432113
BaseRepresentation
bin11010001110100…
…01100010100101
3120022222200220000
431013101202211
5422310320121
633455331513
75311026333
oct1507214245
9508880800
10220010661
111032102a2
1261820b99
1336772530
1421310b53
15144ad526
hexd1d18a5

220010661 has 60 divisors (see below), whose sum is σ = 365568588. Its totient is φ = 131072256.

The previous prime is 220010657. The next prime is 220010711. The reversal of 220010661 is 166010022.

It is a happy number.

220010661 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 1 + 0 + 661 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14976900 + 205033761 = 3870^2 + 14319^2 .

It is not a de Polignac number, because 220010661 - 22 = 220010657 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220050661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1946941 + ... + 1947053.

Almost surely, 2220010661 is an apocalyptic number.

It is an amenable number.

220010661 is a deficient number, since it is larger than the sum of its proper divisors (145557927).

220010661 is a wasteful number, since it uses less digits than its factorization.

220010661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 220010661 is about 14832.7563520743. The cubic root of 220010661 is about 603.6908248009.

Adding to 220010661 its reverse (166010022), we get a palindrome (386020683).

The spelling of 220010661 in words is "two hundred twenty million, ten thousand, six hundred sixty-one".

Divisors: 1 3 9 13 27 39 43 81 113 117 129 339 351 387 559 1017 1053 1161 1469 1677 1849 3051 3483 4407 4859 5031 5547 9153 13221 14577 15093 16641 24037 39663 43731 45279 49923 63167 72111 118989 131193 149769 189501 208937 216333 393579 568503 626811 648999 1705509 1880433 1946997 2716181 5116527 5641299 8148543 16923897 24445629 73336887 220010661