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442132220 = 22523961157
BaseRepresentation
bin11010010110100…
…110011011111100
31010210221122101102
4122112212123330
51401141212340
6111512232232
713646030135
oct3226463374
91123848342
10442132220
11207632532
1210409b678
13707a37ca
1442a10c8c
1528c37215
hex1a5a66fc

442132220 has 24 divisors (see below), whose sum is σ = 968847264. Its totient is φ = 169163456.

The previous prime is 442132211. The next prime is 442132237. The reversal of 442132220 is 22231244.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 442132192 and 442132201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480119 + ... + 481038.

It is an arithmetic number, because the mean of its divisors is an integer number (40368636).

Almost surely, 2442132220 is an apocalyptic number.

It is an amenable number.

442132220 is an abundant number, since it is smaller than the sum of its proper divisors (526715044).

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

442132220 is a wasteful number, since it uses less digits than its factorization.

442132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961189 (or 961187 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 442132220 is about 21026.9403385276. The cubic root of 442132220 is about 761.8171085559.

Adding to 442132220 its reverse (22231244), we get a palindrome (464363464).

The spelling of 442132220 in words is "four hundred forty-two million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 961157 1922314 3844628 4805785 9611570 19223140 22106611 44213222 88426444 110533055 221066110 442132220