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220142117 = 1356929761
BaseRepresentation
bin11010001111100…
…01101000100101
3120100020101012202
431013301220211
5422324021432
633502224245
75312114516
oct1507615045
9510211182
10220142117
111032a0038
1261885085
13367ba310
1421346a0d
15144d7462
hexd1f1a25

220142117 has 8 divisors (see below), whose sum is σ = 237500760. Its totient is φ = 202844160.

The previous prime is 220142089. The next prime is 220142137. The reversal of 220142117 is 711241022.

220142117 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 4 ways, for example, as 6806881 + 213335236 = 2609^2 + 14606^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 220142117 - 26 = 220142053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220142137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7484 + ... + 22277.

It is an arithmetic number, because the mean of its divisors is an integer number (29687595).

Almost surely, 2220142117 is an apocalyptic number.

It is an amenable number.

220142117 is a deficient number, since it is larger than the sum of its proper divisors (17358643).

220142117 is a wasteful number, since it uses less digits than its factorization.

220142117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30343.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 220142117 is about 14837.1869638419. The cubic root of 220142117 is about 603.8110356131.

Adding to 220142117 its reverse (711241022), we get a palindrome (931383139).

The spelling of 220142117 in words is "two hundred twenty million, one hundred forty-two thousand, one hundred seventeen".

Divisors: 1 13 569 7397 29761 386893 16934009 220142117