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242422416 = 2433836761
BaseRepresentation
bin11100111001100…
…01001010010000
3121220011100001000
432130301022100
5444030004131
640015542000
76002361615
oct1634611220
9556140030
10242422416
11114928605
126922a900
133b2bb622
14242a650c
1516438ce6
hexe731290

242422416 has 80 divisors (see below), whose sum is σ = 704329920. Its totient is φ = 79822080.

The previous prime is 242422393. The next prime is 242422421. The reversal of 242422416 is 614224242.

242422416 is a `hidden beast` number, since 2 + 4 + 242 + 2 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 242422416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32476 + ... + 39236.

It is an arithmetic number, because the mean of its divisors is an integer number (8804124).

Almost surely, 2242422416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242422416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352164960).

242422416 is an abundant number, since it is smaller than the sum of its proper divisors (461907504).

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

242422416 is a wasteful number, since it uses less digits than its factorization.

242422416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6861 (or 6849 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 242422416 is about 15569.9202310095. The cubic root of 242422416 is about 623.5303418633.

Adding to 242422416 its reverse (614224242), we get a palindrome (856646658).

The spelling of 242422416 in words is "two hundred forty-two million, four hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 664 747 996 1328 1494 1992 2241 2988 3984 4482 5976 6761 8964 11952 13522 17928 20283 27044 35856 40566 54088 60849 81132 108176 121698 162264 182547 243396 324528 365094 486792 561163 730188 973584 1122326 1460376 1683489 2244652 2920752 3366978 4489304 5050467 6733956 8978608 10100934 13467912 15151401 20201868 26935824 30302802 40403736 60605604 80807472 121211208 242422416