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4400224404 = 2232922356701
BaseRepresentation
bin1000001100100011…
…00001100010010100
3102100122210120010020
410012101201202110
533002424140104
62004344025140
7214020201402
oct40621414224
912318716106
104400224404
1119588a27a4
12a297621b0
135518111a4
142da576472
151ab4802d9
hex106461894

4400224404 has 48 divisors (see below), whose sum is σ = 10669048320. Its totient is φ = 1409788800.

The previous prime is 4400224403. The next prime is 4400224417. The reversal of 4400224404 is 4044220044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400224403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49254 + ... + 105954.

It is an arithmetic number, because the mean of its divisors is an integer number (222271840).

Almost surely, 24400224404 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 4400224404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334524160).

4400224404 is an abundant number, since it is smaller than the sum of its proper divisors (6268823916).

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

4400224404 is a wasteful number, since it uses less digits than its factorization.

4400224404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56960 (or 56958 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4400224404 is about 66334.1872943356. The cubic root of 4400224404 is about 1638.6703981475.

Adding to 4400224404 its reverse (4044220044), we get a palindrome (8444444448).

The spelling of 4400224404 in words is "four billion, four hundred million, two hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 223 348 446 669 892 1338 2676 6467 12934 19401 25868 38802 56701 77604 113402 170103 226804 340206 680412 1644329 3288658 4932987 6577316 9865974 12644323 19731948 25288646 37932969 50577292 75865938 151731876 366685367 733370734 1100056101 1466741468 2200112202 4400224404