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4331444221 = 13418126537
BaseRepresentation
bin1000000100010110…
…01001011111111101
3102011212101011110001
410002023021133331
532332322203341
61553445514301
7212223445156
oct40213113775
912155334401
104331444221
111922a95175
12a0a712991
135404ab960
142d139092d
151a53e5d31
hex1022c97fd

4331444221 has 8 divisors (see below), whose sum is σ = 4778404344. Its totient is φ = 3900737280.

The previous prime is 4331444179. The next prime is 4331444261. The reversal of 4331444221 is 1224441334.

It can be written as a sum of positive squares in 4 ways, for example, as 108264025 + 4223180196 = 10405^2 + 64986^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4331444221 - 211 = 4331442173 is a prime.

It is a super-2 number, since 2×43314442212 = 37522818079268593682, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4331444221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331444261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4062736 + ... + 4063801.

It is an arithmetic number, because the mean of its divisors is an integer number (597300543).

Almost surely, 24331444221 is an apocalyptic number.

4331444221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4331444221 is a deficient number, since it is larger than the sum of its proper divisors (446960123).

4331444221 is a wasteful number, since it uses less digits than its factorization.

4331444221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8126591.

The product of its digits is 9216, while the sum is 28.

The square root of 4331444221 is about 65813.7084580409. The cubic root of 4331444221 is about 1630.0874683011.

Adding to 4331444221 its reverse (1224441334), we get a palindrome (5555885555).

The spelling of 4331444221 in words is "four billion, three hundred thirty-one million, four hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 13 41 533 8126537 105644981 333188017 4331444221