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220001141 = 2331973181
BaseRepresentation
bin11010001110011…
…11001101110101
3120022222012211102
431013033031311
5422310014031
633455215445
75310656513
oct1507171565
9508865742
10220001141
11103204128
1261817585
133676b0b9
142130b4b3
15144aa7cb
hexd1cf375

220001141 has 16 divisors (see below), whose sum is σ = 239490048. Its totient is φ = 201484800.

The previous prime is 220001137. The next prime is 220001153. The reversal of 220001141 is 141100022.

It is a cyclic number.

It is not a de Polignac number, because 220001141 - 22 = 220001137 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 (220000141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67571 + ... + 70751.

It is an arithmetic number, because the mean of its divisors is an integer number (14968128).

Almost surely, 2220001141 is an apocalyptic number.

It is an amenable number.

220001141 is a deficient number, since it is larger than the sum of its proper divisors (19488907).

220001141 is a wasteful number, since it uses less digits than its factorization.

220001141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 220001141 is about 14832.4354372436. The cubic root of 220001141 is about 603.6821173145.

Adding to 220001141 its reverse (141100022), we get a palindrome (361101163).

The spelling of 220001141 in words is "two hundred twenty million, one thousand, one hundred forty-one".

Divisors: 1 23 31 97 713 2231 3007 3181 69161 73163 98611 308557 2268053 7096811 9565267 220001141