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200189925 = 32521389769
BaseRepresentation
bin10111110111010…
…10011111100101
3111221200200221200
423323222133211
5402222034200
631510433113
74650405045
oct1373523745
9457620850
10200189925
11a3002721
1257062799
13326228a0
141c831725
1512895800
hexbeea7e5

200189925 has 72 divisors (see below), whose sum is σ = 390990600. Its totient is φ = 97320960.

The previous prime is 200189867. The next prime is 200189933. The reversal of 200189925 is 529981002.

It can be written as a sum of positive squares in 12 ways, for example, as 132572196 + 67617729 = 11514^2 + 8223^2 .

It is not a de Polignac number, because 200189925 - 27 = 200189797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 200189925.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 259941 + ... + 260709.

It is an arithmetic number, because the mean of its divisors is an integer number (5430425).

Almost surely, 2200189925 is an apocalyptic number.

200189925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

200189925 is a deficient number, since it is larger than the sum of its proper divisors (190800675).

200189925 is a wasteful number, since it uses less digits than its factorization.

200189925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 200189925 is about 14148.8488931079. The cubic root of 200189925 is about 584.9886037666.

The spelling of 200189925 in words is "two hundred million, one hundred eighty-nine thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 89 117 195 225 267 325 445 585 769 801 975 1157 1335 2225 2307 2925 3471 3845 4005 5785 6675 6921 9997 10413 11535 17355 19225 20025 28925 29991 34605 49985 52065 57675 68441 86775 89973 149955 173025 205323 249925 260325 342205 449865 615969 749775 889733 1026615 1711025 2249325 2669199 3079845 4448665 5133075 8007597 13345995 15399225 22243325 40037985 66729975 200189925