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2224404104 = 2313431313797
BaseRepresentation
bin1000010010010101…
…1011011010001000
312202000121102210012
42010211123122020
514023421412404
61004420411052
7106060060106
oct20445333210
95660542705
102224404104
11a416887aa
12520b46a88
13295ac7560
141715d0c76
15d043ca6e
hex8495b688

2224404104 has 64 divisors (see below), whose sum is σ = 4632344640. Its totient is φ = 994855680.

The previous prime is 2224404089. The next prime is 2224404107. The reversal of 2224404104 is 4014044222.

It is a self number, because there is not a number n which added to its sum of digits gives 2224404104.

It is not an unprimeable number, because it can be changed into a prime (2224404107) 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, 583934 + ... + 587730.

It is an arithmetic number, because the mean of its divisors is an integer number (72380385).

Almost surely, 22224404104 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 2224404104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316172320).

2224404104 is an abundant number, since it is smaller than the sum of its proper divisors (2407940536).

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

2224404104 is a wasteful number, since it uses less digits than its factorization.

2224404104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 2224404104 is about 47163.5887523416. The cubic root of 2224404104 is about 1305.3828296056.

Adding to 2224404104 its reverse (4014044222), we get a palindrome (6238448326).

The spelling of 2224404104 in words is "two billion, two hundred twenty-four million, four hundred four thousand, one hundred four".

Divisors: 1 2 4 8 13 26 43 52 86 104 131 172 262 344 524 559 1048 1118 1703 2236 3406 3797 4472 5633 6812 7594 11266 13624 15188 22532 30376 45064 49361 73229 98722 146458 163271 197444 292916 326542 394888 497407 585832 653084 994814 1306168 1989628 2122523 3979256 4245046 6466291 8490092 12932582 16980184 21388501 25865164 42777002 51730328 85554004 171108008 278050513 556101026 1112202052 2224404104