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2224240424 = 237172579091
BaseRepresentation
bin1000010010010011…
…0011011100101000
312202000022010020222
42010210303130220
514023401143144
61004413105212
7106055505650
oct20444633450
95660263228
102224240424
11a4158682a
12520a88208
13295a6abc3
1417158b360
15d04092ee
hex84933728

2224240424 has 64 divisors (see below), whose sum is σ = 5066789760. Its totient is φ = 893583360.

The previous prime is 2224240423. The next prime is 2224240429. The reversal of 2224240424 is 4240424222.

It is a junction number, because it is equal to n+sod(n) for n = 2224240393 and 2224240402.

It is not an unprimeable number, because it can be changed into a prime (2224240423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 240119 + ... + 249209.

It is an arithmetic number, because the mean of its divisors is an integer number (79168590).

Almost surely, 22224240424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224240424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533394880).

2224240424 is an abundant number, since it is smaller than the sum of its proper divisors (2842549336).

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

2224240424 is a wasteful number, since it uses less digits than its factorization.

2224240424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9374 counting only the distinct ones).

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

The square root of 2224240424 is about 47161.8534835093. The cubic root of 2224240424 is about 1305.3508104981.

Adding to 2224240424 its reverse (4240424222), we get a palindrome (6464664646).

The spelling of 2224240424 in words is "two billion, two hundred twenty-four million, two hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 257 476 514 952 1028 1799 2056 3598 4369 7196 8738 9091 14392 17476 18182 30583 34952 36364 61166 63637 72728 122332 127274 154547 244664 254548 309094 509096 618188 1081829 1236376 2163658 2336387 4327316 4672774 8654632 9345548 16354709 18691096 32709418 39718579 65418836 79437158 130837672 158874316 278030053 317748632 556060106 1112120212 2224240424