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202218020 = 22511389477
BaseRepresentation
bin11000000110110…
…01101000100100
3112002111201222022
430003121220210
5403231434040
632022122312
75003552624
oct1403315044
9462451868
10202218020
11a4168434
1257880398
1332b82a44
141cbdc884
1512b466b5
hexc0d9a24

202218020 has 24 divisors (see below), whose sum is σ = 428420664. Its totient is φ = 80170496.

The previous prime is 202217971. The next prime is 202218091. The reversal of 202218020 is 20812202.

It can be written as a sum of positive squares in 4 ways, for example, as 28558336 + 173659684 = 5344^2 + 13178^2 .

It is a super-2 number, since 2×2022180202 = 81784255225440800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202218020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42479 + ... + 46998.

It is an arithmetic number, because the mean of its divisors is an integer number (17850861).

Almost surely, 2202218020 is an apocalyptic number.

202218020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202218020 is an abundant number, since it is smaller than the sum of its proper divisors (226202644).

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

202218020 is a wasteful number, since it uses less digits than its factorization.

202218020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89599 (or 89597 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 202218020 is about 14220.3382519545. The cubic root of 202218020 is about 586.9574481081.

The spelling of 202218020 in words is "two hundred two million, two hundred eighteen thousand, twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 89477 178954 357908 447385 894770 1789540 10110901 20221802 40443604 50554505 101109010 202218020