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242224420 = 22512111221
BaseRepresentation
bin11100111000000…
…00110100100100
3121212210021102211
432130000310210
5444002140140
640011413204
76000605434
oct1634006444
9555707384
10242224420
11114802879
1269154204
133b24c479
14242542c4
15163ea2ea
hexe700d24

242224420 has 12 divisors (see below), whose sum is σ = 508671324. Its totient is φ = 96889760.

The previous prime is 242224403. The next prime is 242224429. The reversal of 242224420 is 24422242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81036004 + 161188416 = 9002^2 + 12696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242224391 and 242224400.

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, 6055591 + ... + 6055630.

It is an arithmetic number, because the mean of its divisors is an integer number (42389277).

Almost surely, 2242224420 is an apocalyptic number.

242224420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242224420 is an abundant number, since it is smaller than the sum of its proper divisors (266446904).

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

242224420 is a wasteful number, since it uses less digits than its factorization.

242224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12111230 (or 12111228 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 242224420 is about 15563.5606465873. The cubic root of 242224420 is about 623.3605416423.

Adding to 242224420 its reverse (24422242), we get a palindrome (266646662).

The spelling of 242224420 in words is "two hundred forty-two million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 12111221 24222442 48444884 60556105 121112210 242224420