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200081025 = 3252232412
BaseRepresentation
bin10111110110011…
…11111010000001
3111221111011120100
423323033322001
5402210043100
631504233013
74646442414
oct1373177201
9457434510
10200081025
11a2a38921
125700b769
13325b5151
141c803b7b
1512873400
hexbecfe81

200081025 has 81 divisors (see below), whose sum is σ = 383986057. Its totient is φ = 99580800.

The previous prime is 200081023. The next prime is 200081029. The reversal of 200081025 is 520180002.

The square root of 200081025 is 14145.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 84217329 + 115863696 = 9177^2 + 10764^2 .

It is not a de Polignac number, because 200081025 - 21 = 200081023 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200080989 and 200081007.

It is not an unprimeable number, because it can be changed into a prime (200081023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4880005 + ... + 4880045.

Almost surely, 2200081025 is an apocalyptic number.

200081025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

200081025 is the 14145-th square number.

200081025 is the 7073-rd centered octagonal number.

It is an amenable number.

200081025 is a deficient number, since it is larger than the sum of its proper divisors (183905032).

200081025 is a wasteful number, since it uses less digits than its factorization.

200081025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The cubic root of 200081025 is about 584.8825098261.

The spelling of 200081025 in words is "two hundred million, eighty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 23 25 41 45 69 75 115 123 205 207 225 345 369 529 575 615 943 1025 1035 1587 1681 1725 1845 2645 2829 3075 4715 4761 5043 5175 7935 8405 8487 9225 13225 14145 15129 21689 23575 23805 25215 38663 39675 42025 42435 65067 70725 75645 108445 115989 119025 126075 193315 195201 212175 325335 347967 378225 542225 579945 889249 966575 976005 1626675 1739835 2667747 2899725 4446245 4880025 8003241 8699175 13338735 22231225 40016205 66693675 200081025