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443214112 = 25116718793
BaseRepresentation
bin11010011010101…
…110100100100000
31010212222121110111
4122122232210200
51401430322422
6111551341104
713661154265
oct3232564440
91125877414
10443214112
11208201360
12104521794
1370a92093
1442c1326c
1528d9ca77
hex1a6ae920

443214112 has 48 divisors (see below), whose sum is σ = 966161952. Its totient is φ = 198443520.

The previous prime is 443214067. The next prime is 443214119. The reversal of 443214112 is 211412344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (443214119) 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 7 ways as a sum of consecutive naturals, for example, 14188 + ... + 32980.

It is an arithmetic number, because the mean of its divisors is an integer number (20128374).

Almost surely, 2443214112 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 443214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483080976).

443214112 is an abundant number, since it is smaller than the sum of its proper divisors (522947840).

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

443214112 is a wasteful number, since it uses less digits than its factorization.

443214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18881 (or 18873 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 443214112 is about 21052.6509494648. The cubic root of 443214112 is about 762.4379880412.

Adding to 443214112 its reverse (211412344), we get a palindrome (654626456).

The spelling of 443214112 in words is "four hundred forty-three million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 134 176 268 352 536 737 1072 1474 2144 2948 5896 11792 18793 23584 37586 75172 150344 206723 300688 413446 601376 826892 1259131 1653784 2518262 3307568 5036524 6615136 10073048 13850441 20146096 27700882 40292192 55401764 110803528 221607056 443214112