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2222312224 = 25112927507
BaseRepresentation
bin1000010001110101…
…1100101100100000
312201212200011021011
42010131130230200
514022402442344
61004303510304
7106033225246
oct20435345440
95655604234
102222312224
11a4048a080
125202b8394
13295544362
14171208796
15d0177d34
hex8475cb20

2222312224 has 72 divisors (see below), whose sum is σ = 4943837808. Its totient is φ = 975179520.

The previous prime is 2222312201. The next prime is 2222312263. The reversal of 2222312224 is 4222132222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2222312195 and 2222312204.

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, 292279 + ... + 299785.

It is an arithmetic number, because the mean of its divisors is an integer number (68664414).

Almost surely, 22222312224 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 2222312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471918904).

2222312224 is an abundant number, since it is smaller than the sum of its proper divisors (2721525584).

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

2222312224 is a wasteful number, since it uses less digits than its factorization.

2222312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 7549 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 2222312224 is about 47141.4066824485. The cubic root of 2222312224 is about 1304.9734974042.

Adding to 2222312224 its reverse (4222132222), we get a palindrome (6444444446).

The spelling of 2222312224 in words is "two billion, two hundred twenty-two million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 841 928 1276 1682 2552 3364 5104 6728 7507 9251 10208 13456 15014 18502 26912 30028 37004 60056 74008 82577 120112 148016 165154 217703 240224 296032 330308 435406 660616 870812 1321232 1741624 2394733 2642464 3483248 4789466 6313387 6966496 9578932 12626774 19157864 25253548 38315728 50507096 69447257 76631456 101014192 138894514 202028384 277789028 555578056 1111156112 2222312224