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242224444 = 227211112349
BaseRepresentation
bin11100111000000…
…00110100111100
3121212210021110201
432130000310330
5444002140234
640011413244
76000605500
oct1634006474
9555707421
10242224444
111148028a0
1269154224
133b24c497
1424254300
15163ea314
hexe700d3c

242224444 has 36 divisors (see below), whose sum is σ = 537931800. Its totient is φ = 94372320.

The previous prime is 242224429. The next prime is 242224471. The reversal of 242224444 is 444422242.

It is a super-2 number, since 2×2422244442 = 117345362542218272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54019 + ... + 58330.

It is an arithmetic number, because the mean of its divisors is an integer number (14942550).

Almost surely, 2242224444 is an apocalyptic number.

It is an amenable number.

242224444 is an abundant number, since it is smaller than the sum of its proper divisors (295707356).

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

242224444 is a wasteful number, since it uses less digits than its factorization.

242224444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112378 (or 112369 counting only the distinct ones).

The product of its digits is 16384, while the sum is 28.

The square root of 242224444 is about 15563.5614176190. The cubic root of 242224444 is about 623.3605622302.

Adding to 242224444 its reverse (444422242), we get a palindrome (686646686).

The spelling of 242224444 in words is "two hundred forty-two million, two hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 2156 112349 224698 449396 786443 1235839 1572886 2471678 3145772 4943356 5505101 8650873 11010202 17301746 22020404 34603492 60556111 121112222 242224444