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216680597 = 7217325561
BaseRepresentation
bin11001110101001…
…00100010010101
3120002201111220022
430322210202111
5420432234342
633300114525
75240516600
oct1472444225
9502644808
10216680597
11101346381
1260695a45
1335b77893
1420ac5337
15140519d2
hexcea4895

216680597 has 12 divisors (see below), whose sum is σ = 253523916. Its totient is φ = 184645440.

The previous prime is 216680591. The next prime is 216680599. The reversal of 216680597 is 795086612.

It can be written as a sum of positive squares in 2 ways, for example, as 187854436 + 28826161 = 13706^2 + 5369^2 .

It is not a de Polignac number, because 216680597 - 26 = 216680533 is a prime.

It is a super-2 number, since 2×2166805972 = 93900962232552818, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216680591) 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 11 ways as a sum of consecutive naturals, for example, 4304 + ... + 21257.

It is an arithmetic number, because the mean of its divisors is an integer number (21126993).

Almost surely, 2216680597 is an apocalyptic number.

It is an amenable number.

216680597 is a deficient number, since it is larger than the sum of its proper divisors (36843319).

216680597 is a wasteful number, since it uses less digits than its factorization.

216680597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25748 (or 25741 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 216680597 is about 14720.0746261695. The cubic root of 216680597 is about 600.6295216805.

The spelling of 216680597 in words is "two hundred sixteen million, six hundred eighty thousand, five hundred ninety-seven".

Divisors: 1 7 49 173 1211 8477 25561 178927 1252489 4422053 30954371 216680597