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217420137 = 32113476329
BaseRepresentation
bin11001111010110…
…01000101101001
3120011010002100200
430331121011221
5421124421022
633324022413
75250016644
oct1475310551
9504102320
10217420137
11101800a70
1260991a09
133607638c
1420c38a5b
151414abac
hexcf59169

217420137 has 24 divisors (see below), whose sum is σ = 343643040. Its totient is φ = 131369280.

The previous prime is 217420117. The next prime is 217420153. The reversal of 217420137 is 731024712.

It is a happy number.

It is not a de Polignac number, because 217420137 - 27 = 217420009 is a prime.

It is a super-3 number, since 3×2174201373 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 217420137.

It is not an unprimeable number, because it can be changed into a prime (217420117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31189 + ... + 37517.

It is an arithmetic number, because the mean of its divisors is an integer number (14318460).

Almost surely, 2217420137 is an apocalyptic number.

It is an amenable number.

217420137 is a deficient number, since it is larger than the sum of its proper divisors (126222903).

217420137 is a wasteful number, since it uses less digits than its factorization.

217420137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6693 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 217420137 is about 14745.1733458783. The cubic root of 217420137 is about 601.3120703608.

Adding to 217420137 its reverse (731024712), we get a palindrome (948444849).

The spelling of 217420137 in words is "two hundred seventeen million, four hundred twenty thousand, one hundred thirty-seven".

Divisors: 1 3 9 11 33 99 347 1041 3123 3817 6329 11451 18987 34353 56961 69619 208857 626571 2196163 6588489 19765467 24157793 72473379 217420137