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220132022000 = 24531110006001
BaseRepresentation
bin1100110100000011100…
…1000001011011110000
3210001012101020100212212
43031000321001123300
512101312244201000
6245043253111252
721622035212462
oct3150071013360
9701171210785
10220132022000
11853a2873310
12367b5928528
13179b216ca27
14a923b32132
155ad5abcc35
hex3340e416f0

220132022000 has 80 divisors (see below), whose sum is σ = 580668308064. Its totient is φ = 80048000000.

The previous prime is 220132021997. The next prime is 220132022003. The reversal of 220132022000 is 220231022.

It is an interprime number because it is at equal distance from previous prime (220132021997) and next prime (220132022003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220132022003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4981001 + ... + 5025000.

Almost surely, 2220132022000 is an apocalyptic number.

220132022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220132022000 is an abundant number, since it is smaller than the sum of its proper divisors (360536286064).

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

220132022000 is a wasteful number, since it uses less digits than its factorization.

220132022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10006035 (or 10006019 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 220132022000 its reverse (220231022), we get a palindrome (220352253022).

The spelling of 220132022000 in words is "two hundred twenty billion, one hundred thirty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 10006001 20012002 40024004 50030005 80048008 100060010 110066011 160096016 200120020 220132022 250150025 400240040 440264044 500300050 550330055 800480080 880528088 1000600100 1100660110 1250750125 1761056176 2001200200 2201320220 2501500250 2751650275 4002400400 4402640440 5003000500 5503300550 8805280880 10006001000 11006601100 13758251375 20012002000 22013202200 27516502750 44026404400 55033005500 110066011000 220132022000