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80842200 = 23352672011
BaseRepresentation
bin1001101000110…
…00110111011000
312122010012122120
410310120313120
5131143422300
612004421240
72001101355
oct464306730
9178105576
1080842200
11416a6a3a
12230a7820
131399682a
14aa4562c
15716d3a0
hex4d18dd8

80842200 has 96 divisors (see below), whose sum is σ = 254477760. Its totient is φ = 21225600.

The previous prime is 80842199. The next prime is 80842243. The reversal of 80842200 is 224808.

It is a super-2 number, since 2×808422002 = 13070922601680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39195 + ... + 41205.

It is an arithmetic number, because the mean of its divisors is an integer number (2650810).

Almost surely, 280842200 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 80842200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127238880).

80842200 is an abundant number, since it is smaller than the sum of its proper divisors (173635560).

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

80842200 is a wasteful number, since it uses less digits than its factorization.

80842200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 80842200 is about 8991.2290594779. The cubic root of 80842200 is about 432.3937168534.

The spelling of 80842200 in words is "eighty million, eight hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2011 2680 3350 4020 4022 5025 6033 6700 8040 8044 10050 10055 12066 13400 16088 20100 20110 24132 30165 40200 40220 48264 50275 60330 80440 100550 120660 134737 150825 201100 241320 269474 301650 402200 404211 538948 603300 673685 808422 1077896 1206600 1347370 1616844 2021055 2694740 3233688 3368425 4042110 5389480 6736850 8084220 10105275 13473700 16168440 20210550 26947400 40421100 80842200