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2222022224 = 242941271431
BaseRepresentation
bin1000010001110001…
…0101111001010000
312201212010102110102
42010130111321100
514022314202344
61004253351532
7106030606622
oct20434257120
95655112412
102222022224
11a40301204
125201985a8
13295472366
14171170c12
15d011be4e
hex84715e50

2222022224 has 80 divisors (see below), whose sum is σ = 4589706240. Its totient is φ = 1040256000.

The previous prime is 2222022217. The next prime is 2222022233. The reversal of 2222022224 is 4222202222.

It is a junction number, because it is equal to n+sod(n) for n = 2222022196 and 2222022205.

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 15 ways as a sum of consecutive naturals, for example, 5155289 + ... + 5155719.

It is an arithmetic number, because the mean of its divisors is an integer number (57371328).

Almost surely, 22222022224 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 2222022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294853120).

2222022224 is an abundant number, since it is smaller than the sum of its proper divisors (2367684016).

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

2222022224 is a wasteful number, since it uses less digits than its factorization.

2222022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2222022224 is about 47138.3307298848. The cubic root of 2222022224 is about 1304.9167308867.

Adding to 2222022224 its reverse (4222202222), we get a palindrome (6444224446).

It can be divided in two parts, 222202222 and 4, that multiplied together give a palindrome (888808888).

The spelling of 2222022224 in words is "two billion, two hundred twenty-two million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 271 328 431 464 542 656 862 1084 1189 1724 2168 2378 3448 4336 4756 6896 7859 9512 11111 12499 15718 17671 19024 22222 24998 31436 35342 44444 49996 62872 70684 88888 99992 116801 125744 141368 177776 199984 233602 282736 322219 467204 512459 644438 934408 1024918 1288876 1868816 2049836 2577752 3387229 4099672 4788841 5155504 6774458 8199344 9577682 13548916 19155364 27097832 38310728 54195664 76621456 138876389 277752778 555505556 1111011112 2222022224