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4442431221 = 324153227153
BaseRepresentation
bin1000010001100101…
…00001111011110101
3102110121012212222200
410020302201323311
533044230244341
62012452415113
7215042020344
oct41062417365
912417185880
104442431221
11197a700368
12a3b917499
1355a49b337
14302001b5b
151b001adb6
hex108ca1ef5

4442431221 has 24 divisors (see below), whose sum is σ = 6697408536. Its totient is φ = 2834856960.

The previous prime is 4442431219. The next prime is 4442431237. The reversal of 4442431221 is 1221342444.

4442431221 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 431 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22043025 + 4420388196 = 4695^2 + 66486^2 .

It is not a de Polignac number, because 4442431221 - 21 = 4442431219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442431291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94020 + ... + 133133.

It is an arithmetic number, because the mean of its divisors is an integer number (279058689).

Almost surely, 24442431221 is an apocalyptic number.

4442431221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4442431221 is a deficient number, since it is larger than the sum of its proper divisors (2254977315).

4442431221 is a wasteful number, since it uses less digits than its factorization.

4442431221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227253 (or 227250 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4442431221 is about 66651.5657805576. The cubic root of 4442431221 is about 1643.8930935952.

Adding to 4442431221 its reverse (1221342444), we get a palindrome (5663773665).

The spelling of 4442431221 in words is "four billion, four hundred forty-two million, four hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 41 53 123 159 369 477 2173 6519 19557 227153 681459 2044377 9313273 12039109 27939819 36117327 83819457 108351981 493603469 1480810407 4442431221