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442242242200 = 235211201019201
BaseRepresentation
bin1100110111101111011…
…00010001011010011000
31120021111121210121112201
412123313230101122120
524221203003222300
6535055134015544
743644114015043
oct6336754213230
91507447717481
10442242242200
11160610242170
12718620475b4
133291b0c2525
1417594485c5a
15b78519366a
hex66f7b11698

442242242200 has 48 divisors (see below), whose sum is σ = 1121687147160. Its totient is φ = 160815360000.

The previous prime is 442242242171. The next prime is 442242242207. The reversal of 442242242200 is 2242242244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442242242207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100507401 + ... + 100511800.

Almost surely, 2442242242200 is an apocalyptic number.

442242242200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442242242200 is an abundant number, since it is smaller than the sum of its proper divisors (679444904960).

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

442242242200 is a wasteful number, since it uses less digits than its factorization.

442242242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201019228 (or 201019219 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 442242242200 its reverse (2242242244), we get a palindrome (444484484444).

The spelling of 442242242200 in words is "four hundred forty-two billion, two hundred forty-two million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 201019201 402038402 804076804 1005096005 1608153608 2010192010 2211211211 4020384020 4422422422 5025480025 8040768040 8844844844 10050960050 11056056055 17689689688 20101920100 22112112110 40203840200 44224224220 55280280275 88448448440 110560560550 221121121100 442242242200