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200930625 = 385472
BaseRepresentation
bin10111111100111…
…11010101000001
3112000002100000000
423332133111001
5402414240000
631534350213
74656611400
oct1376372501
9460070000
10200930625
11a3469175
125735b369
1332821a7c
141c985637
1512990000
hexbf9f541

200930625 has 135 divisors (see below), whose sum is σ = 438091797. Its totient is φ = 91854000.

The previous prime is 200930591. The next prime is 200930629. The reversal of 200930625 is 526039002.

The square root of 200930625 is 14175.

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

200930625 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 30 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15752961 + 185177664 = 3969^2 + 13608^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 200930625 - 217 = 200799553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (200930629) 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 134 ways as a sum of consecutive naturals, for example, 28704372 + ... + 28704378.

Almost surely, 2200930625 is an apocalyptic number.

200930625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

200930625 is the 14175-th square number.

200930625 is the 7088-th centered octagonal number.

It is an amenable number.

200930625 is an abundant number, since it is smaller than the sum of its proper divisors (237161172).

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

200930625 is an frugal number, since it uses more digits than its factorization.

200930625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The cubic root of 200930625 is about 585.7091990578.

Adding to 200930625 its reverse (526039002), we get a palindrome (726969627).

The spelling of 200930625 in words is "two hundred million, nine hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 125 135 147 175 189 225 243 245 315 375 405 441 525 567 625 675 729 735 875 945 1125 1215 1225 1323 1575 1701 1875 2025 2187 2205 2625 2835 3375 3645 3675 3969 4375 4725 5103 5625 6075 6125 6561 6615 7875 8505 10125 10935 11025 11907 13125 14175 15309 16875 18225 18375 19845 23625 25515 30375 30625 32805 33075 35721 39375 42525 45927 50625 54675 55125 59535 70875 76545 91125 91875 99225 107163 118125 127575 151875 164025 165375 178605 212625 229635 273375 275625 297675 321489 354375 382725 455625 496125 535815 637875 820125 826875 893025 1063125 1148175 1366875 1488375 1607445 1913625 2480625 2679075 3189375 4100625 4465125 5740875 7441875 8037225 9568125 13395375 22325625 28704375 40186125 66976875 200930625