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445223520 = 25335714723
BaseRepresentation
bin11010100010011…
…001001001100000
31011000202200212000
4122202121021200
51402434123040
6112102404000
714014223520
oct3242311140
91130680760
10445223520
11209354025
12105130600
1371316891
14431b7680
1529148130
hex1a899260

445223520 has 192 divisors, whose sum is σ = 1781015040. Its totient is φ = 101758464.

The previous prime is 445223507. The next prime is 445223531. The reversal of 445223520 is 25322544.

It is a happy number.

It is a super-2 number, since 2×4452235202 = 396447965522380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22879 + ... + 37601.

It is an arithmetic number, because the mean of its divisors is an integer number (9276120).

Almost surely, 2445223520 is an apocalyptic number.

445223520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890507520).

445223520 is an abundant number, since it is smaller than the sum of its proper divisors (1335791520).

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

445223520 is a wasteful number, since it uses less digits than its factorization.

445223520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14754 (or 14740 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 445223520 is about 21100.3203767147. The cubic root of 445223520 is about 763.5884775167.

It can be divided in two parts, 4452 and 23520, that added together give a palindrome (27972).

The spelling of 445223520 in words is "four hundred forty-five million, two hundred twenty-three thousand, five hundred twenty".