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442224100 = 22524422241
BaseRepresentation
bin11010010110111…
…100110111100100
31010211010022102101
4122112330313210
51401202132400
6111514221444
713646562043
oct3226746744
91124108371
10442224100
1120769556a
12104124884
1370806586
1442a3655a
1528c5456a
hex1a5bcde4

442224100 has 18 divisors (see below), whose sum is σ = 959626514. Its totient is φ = 176889600.

The previous prime is 442224089. The next prime is 442224109. The reversal of 442224100 is 1422244.

It can be written as a sum of positive squares in 3 ways, for example, as 12574116 + 429649984 = 3546^2 + 20728^2 .

It is not an unprimeable number, because it can be changed into a prime (442224109) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2211021 + ... + 2211220.

Almost surely, 2442224100 is an apocalyptic number.

It is an amenable number.

442224100 is an abundant number, since it is smaller than the sum of its proper divisors (517402414).

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

442224100 is a wasteful number, since it uses less digits than its factorization.

442224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422255 (or 4422248 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 442224100 is about 21029.1250412375. The cubic root of 442224100 is about 761.8698762611.

Adding to 442224100 its reverse (1422244), we get a palindrome (443646344).

The spelling of 442224100 in words is "four hundred forty-two million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4422241 8844482 17688964 22111205 44222410 88444820 110556025 221112050 442224100