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242214 = 2377379
BaseRepresentation
bin111011001000100110
3110022020220
4323020212
530222324
65105210
72026110
oct731046
9408226
10242214
11155a85
12b8206
138632b
14643b0
154bb79
hex3b226

242214 has 32 divisors (see below), whose sum is σ = 568320. Its totient is φ = 67392.

The previous prime is 242201. The next prime is 242227. The reversal of 242214 is 412242.

242214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242201) and next prime (242227).

It is a junction number, because it is equal to n+sod(n) for n = 242193 and 242202.

It is a congruent number.

It is an unprimeable number.

242214 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3027 + ... + 3105.

It is an arithmetic number, because the mean of its divisors is an integer number (17760).

2242214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284160).

242214 is an abundant number, since it is smaller than the sum of its proper divisors (326106).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242214 is a wasteful number, since it uses less digits than its factorization.

242214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164.

The product of its digits is 128, while the sum is 15.

The square root of 242214 is about 492.1524154162. The cubic root of 242214 is about 62.3351602948.

Adding to 242214 its reverse (412242), we get a palindrome (654456).

The spelling of 242214 in words is "two hundred forty-two thousand, two hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 7 14 21 42 73 79 146 158 219 237 438 474 511 553 1022 1106 1533 1659 3066 3318 5767 11534 17301 34602 40369 80738 121107 242214