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220868137 = 7231314401
BaseRepresentation
bin11010010101000…
…10111000101001
3120101121021010101
431022202320221
5423020240022
633525545401
75321230300
oct1512427051
9511537111
10220868137
11103746556
1261b75261
13369b2909
1421495437
15145cc627
hexd2a2e29

220868137 has 12 divisors (see below), whose sum is σ = 257766996. Its totient is φ = 188697600.

The previous prime is 220868111. The next prime is 220868159. The reversal of 220868137 is 731868022.

It can be written as a sum of positive squares in 2 ways, for example, as 117418896 + 103449241 = 10836^2 + 10171^2 .

It is a de Polignac number, because none of the positive numbers 2k-220868137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220868096 and 220868105.

It is not an unprimeable number, because it can be changed into a prime (220868177) 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, 8137 + ... + 22537.

It is an arithmetic number, because the mean of its divisors is an integer number (21480583).

Almost surely, 2220868137 is an apocalyptic number.

It is an amenable number.

220868137 is a deficient number, since it is larger than the sum of its proper divisors (36898859).

220868137 is a wasteful number, since it uses less digits than its factorization.

220868137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14728 (or 14721 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 220868137 is about 14861.6330529320. The cubic root of 220868137 is about 604.4740888812.

The spelling of 220868137 in words is "two hundred twenty million, eight hundred sixty-eight thousand, one hundred thirty-seven".

Divisors: 1 7 49 313 2191 14401 15337 100807 705649 4507513 31552591 220868137