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242224424 = 23132329081
BaseRepresentation
bin11100111000000…
…00110100101000
3121212210021102222
432130000310220
5444002140144
640011413212
76000605441
oct1634006450
9555707388
10242224424
11114802882
1269154208
133b24c480
14242542c8
15163ea2ee
hexe700d28

242224424 has 16 divisors (see below), whose sum is σ = 489107220. Its totient is φ = 111795840.

The previous prime is 242224403. The next prime is 242224429. The reversal of 242224424 is 424422242.

It can be written as a sum of positive squares in 2 ways, for example, as 240808324 + 1416100 = 15518^2 + 1190^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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

It is a junction number, because it is equal to n+sod(n) for n = 242224393 and 242224402.

It is not an unprimeable number, because it can be changed into a prime (242224429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1164437 + ... + 1164644.

Almost surely, 2242224424 is an apocalyptic number.

It is an amenable number.

242224424 is an abundant number, since it is smaller than the sum of its proper divisors (246882796).

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

242224424 is a wasteful number, since it uses less digits than its factorization.

242224424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329100 (or 2329096 counting only the distinct ones).

The product of its digits is 8192, while the sum is 26.

The square root of 242224424 is about 15563.5607750926. The cubic root of 242224424 is about 623.3605450737.

Adding to 242224424 its reverse (424422242), we get a palindrome (666646666).

The spelling of 242224424 in words is "two hundred forty-two million, two hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 2329081 4658162 9316324 18632648 30278053 60556106 121112212 242224424