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219842141 = 1924611321
BaseRepresentation
bin11010001101010…
…00011001011101
3120022200010201112
431012220121131
5422234422031
633451551405
75306425121
oct1506503135
9508603645
10219842141
11103105722
126175b565
133671390c
14212a9581
151447862b
hexd1a865d

219842141 has 12 divisors (see below), whose sum is σ = 232701084. Its totient is φ = 207662400.

The previous prime is 219842137. The next prime is 219842149. The reversal of 219842141 is 141248912.

It is a happy number.

219842141 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 145106116 + 74736025 = 12046^2 + 8645^2 .

It is not a de Polignac number, because 219842141 - 22 = 219842137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 219842098 and 219842107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219842149) 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, 165761 + ... + 167081.

It is an arithmetic number, because the mean of its divisors is an integer number (19391757).

Almost surely, 2219842141 is an apocalyptic number.

It is an amenable number.

219842141 is a deficient number, since it is larger than the sum of its proper divisors (12858943).

219842141 is a wasteful number, since it uses less digits than its factorization.

219842141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1801 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 219842141 is about 14827.0745934591. The cubic root of 219842141 is about 603.5366505089.

The spelling of 219842141 in words is "two hundred nineteen million, eight hundred forty-two thousand, one hundred forty-one".

Divisors: 1 19 361 461 1321 8759 25099 166421 476881 608981 11570639 219842141