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217116941 = 2322571597
BaseRepresentation
bin11001111000011…
…11000100001101
3120010112200110012
430330033010031
5421040220231
633313323005
75244314666
oct1474170415
9503480405
10217116941
11101614198
1260866465
1335c9b382
1420b9a36d
15140dae2b
hexcf0f10d

217116941 has 12 divisors (see below), whose sum is σ = 227993052. Its totient is φ = 206739456.

The previous prime is 217116937. The next prime is 217116983. The reversal of 217116941 is 149611712.

It is a happy number.

217116941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 144696841 + 72420100 = 12029^2 + 8510^2 .

It is not a de Polignac number, because 217116941 - 22 = 217116937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 217116898 and 217116907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217116931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135155 + ... + 136751.

It is an arithmetic number, because the mean of its divisors is an integer number (18999421).

Almost surely, 2217116941 is an apocalyptic number.

It is an amenable number.

217116941 is a deficient number, since it is larger than the sum of its proper divisors (10876111).

217116941 is a wasteful number, since it uses less digits than its factorization.

217116941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1877 counting only the distinct ones).

The product of its digits is 3024, while the sum is 32.

The square root of 217116941 is about 14734.8885642206. Note that the first 3 decimals coincide. The cubic root of 217116941 is about 601.0324271011.

It can be divided in two parts, 21711 and 6941, that multiplied together give a palindrome (150696051).

The spelling of 217116941 in words is "two hundred seventeen million, one hundred sixteen thousand, nine hundred forty-one".

Divisors: 1 23 257 529 1597 5911 36731 135953 410429 844813 9439867 217116941