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242144244 = 22326726229
BaseRepresentation
bin11100110111011…
…01001111110100
3121212122012110100
432123231033310
5443442103434
640005554100
76000122616
oct1633551764
9555565410
10242144244
11114758611
1269115930
133b221b24
1424232db6
15163d1699
hexe6ed3f4

242144244 has 18 divisors (see below), whose sum is σ = 612086930. Its totient is φ = 80714736.

The previous prime is 242144239. The next prime is 242144249. The reversal of 242144244 is 442441242.

242144244 is a `hidden beast` number, since 24 + 214 + 424 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (242144239) and next prime (242144249).

It can be written as a sum of positive squares in only one way, i.e., 234090000 + 8054244 = 15300^2 + 2838^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242144249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3363079 + ... + 3363150.

Almost surely, 2242144244 is an apocalyptic number.

It is an amenable number.

242144244 is an abundant number, since it is smaller than the sum of its proper divisors (369942686).

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

242144244 is a wasteful number, since it uses less digits than its factorization.

242144244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726239 (or 6726234 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 242144244 is about 15560.9846732140. The cubic root of 242144244 is about 623.2917568489.

Adding to 242144244 its reverse (442441242), we get a palindrome (684585486).

It can be divided in two parts, 2421 and 44244, that added together give a triangular number (46665 = T305).

The spelling of 242144244 in words is "two hundred forty-two million, one hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6726229 13452458 20178687 26904916 40357374 60536061 80714748 121072122 242144244