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242144224 = 2573134871
BaseRepresentation
bin11100110111011…
…01001111100000
3121212122012102121
432123231033200
5443442103344
640005554024
76000122560
oct1633551740
9555565377
10242144224
111147585a3
1269115914
133b221b0a
1424232da0
15163d1684
hexe6ed3e0

242144224 has 48 divisors (see below), whose sum is σ = 562415616. Its totient is φ = 100425600.

The previous prime is 242144183. The next prime is 242144239. The reversal of 242144224 is 422441242.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10492 + ... + 24379.

It is an arithmetic number, because the mean of its divisors is an integer number (11716992).

Almost surely, 2242144224 is an apocalyptic number.

It is an amenable number.

242144224 is an abundant number, since it is smaller than the sum of its proper divisors (320271392).

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

242144224 is a wasteful number, since it uses less digits than its factorization.

242144224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34919 (or 34911 counting only the distinct ones).

The product of its digits is 4096, while the sum is 25.

The square root of 242144224 is about 15560.9840305811. The cubic root of 242144224 is about 623.2917396886.

Adding to 242144224 its reverse (422441242), we get a palindrome (664585466).

The spelling of 242144224 in words is "two hundred forty-two million, one hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 34871 69742 139484 244097 278968 488194 557936 976388 1081001 1115872 1952776 2162002 3905552 4324004 7567007 7811104 8648008 15134014 17296016 30268028 34592032 60536056 121072112 242144224