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20168200 = 2352137757
BaseRepresentation
bin100110011101…
…1111000001000
31101221122120101
41030323320020
520130340300
62000135144
7333266263
oct114737010
941848511
1020168200
1110425738
1269074b4
134241b60
14296dcda
151b85b6a
hex133be08

20168200 has 48 divisors (see below), whose sum is σ = 50504580. Its totient is φ = 7445760.

The previous prime is 20168191. The next prime is 20168209. The reversal of 20168200 is 286102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20168191) and next prime (20168209).

It can be written as a sum of positive squares in 6 ways, for example, as 6874884 + 13293316 = 2622^2 + 3646^2 .

It is not an unprimeable number, because it can be changed into a prime (20168209) 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, 1279 + ... + 6478.

Almost surely, 220168200 is an apocalyptic number.

20168200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20168200 is an abundant number, since it is smaller than the sum of its proper divisors (30336380).

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

20168200 is a wasteful number, since it uses less digits than its factorization.

20168200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 20168200 is about 4490.9019138699. The cubic root of 20168200 is about 272.2005801358.

The spelling of 20168200 in words is "twenty million, one hundred sixty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 7757 15514 31028 38785 62056 77570 100841 155140 193925 201682 310280 387850 403364 504205 775700 806728 1008410 1551400 2016820 2521025 4033640 5042050 10084100 20168200