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4432214112 = 25346168897
BaseRepresentation
bin1000010000010111…
…00011100001100000
3102102212222210202020
410020023203201200
533034121322422
62011445421440
7214556125014
oct41013434140
912385883666
104432214112
111974962077
12a3840a880
13558331a01
14300902544
151ae19d95c
hex1082e3860

4432214112 has 24 divisors (see below), whose sum is σ = 11634562296. Its totient is φ = 1477404672.

The previous prime is 4432214099. The next prime is 4432214117. The reversal of 4432214112 is 2114122344.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×44322141122 = 39289043869223897088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432214117) 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 3 ways as a sum of consecutive naturals, for example, 23084353 + ... + 23084544.

It is an arithmetic number, because the mean of its divisors is an integer number (484773429).

Almost surely, 24432214112 is an apocalyptic number.

It is an amenable number.

4432214112 is an abundant number, since it is smaller than the sum of its proper divisors (7202348184).

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

4432214112 is a wasteful number, since it uses less digits than its factorization.

4432214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46168910 (or 46168902 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4432214112 is about 66574.8759818597. The cubic root of 4432214112 is about 1642.6318677213.

Adding to 4432214112 its reverse (2114122344), we get a palindrome (6546336456).

The spelling of 4432214112 in words is "four billion, four hundred thirty-two million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 46168897 92337794 138506691 184675588 277013382 369351176 554026764 738702352 1108053528 1477404704 2216107056 4432214112