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442900224 = 2834133153
BaseRepresentation
bin11010011001100…
…001111100000000
31010212101122220000
4122121201330000
51401340301344
6111540520000
713655406204
oct3231417400
91125348800
10442900224
11208007548
121043b0000
13709b2250
1442b70b04
1528d39a69
hex1a661f00

442900224 has 360 divisors, whose sum is σ = 1495815552. Its totient is φ = 129392640.

The previous prime is 442900219. The next prime is 442900243. The reversal of 442900224 is 422009244.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8356582 + ... + 8356634.

Almost surely, 2442900224 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 442900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747907776).

442900224 is an abundant number, since it is smaller than the sum of its proper divisors (1052915328).

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

442900224 is a wasteful number, since it uses less digits than its factorization.

442900224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 442900224 is about 21045.1947959623. The cubic root of 442900224 is about 762.2579571809.

Adding to 442900224 its reverse (422009244), we get a palindrome (864909468).

The spelling of 442900224 in words is "four hundred forty-two million, nine hundred thousand, two hundred twenty-four".