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20021625 = 325313372
BaseRepresentation
bin100110001100…
…0000101111001
31101200012111200
41030120011321
520111143000
61553044413
7332116041
oct114300571
941605450
1020021625
11103355a8
126856709
1341c0220
142932721
151b57500
hex1318179

20021625 has 72 divisors (see below), whose sum is σ = 39947544. Its totient is φ = 9590400.

The previous prime is 20021623. The next prime is 20021641. The reversal of 20021625 is 52612002.

20021625 = 8652 + 8662 + ... + 8902.

20021625 is a `hidden beast` number, since 20 + 0 + 21 + 625 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9072144 + 10949481 = 3012^2 + 3309^2 .

It is not a de Polignac number, because 20021625 - 21 = 20021623 is a prime.

20021625 is a Rhonda number in base 14.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20021598 and 20021607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021623) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 541107 + ... + 541143.

It is an arithmetic number, because the mean of its divisors is an integer number (554827).

Almost surely, 220021625 is an apocalyptic number.

20021625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20021625 is a deficient number, since it is larger than the sum of its proper divisors (19925919).

20021625 is a wasteful number, since it uses less digits than its factorization.

20021625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20021625 is about 4474.5530503057. The cubic root of 20021625 is about 271.5395585553.

Adding to 20021625 its reverse (52612002), we get a palindrome (72633627).

The spelling of 20021625 in words is "twenty million, twenty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 37 39 45 65 75 111 117 125 185 195 225 325 333 375 481 555 585 925 975 1125 1369 1443 1625 1665 2405 2775 2925 4107 4329 4625 4875 6845 7215 8325 12025 12321 13875 14625 17797 20535 21645 34225 36075 41625 53391 60125 61605 88985 102675 108225 160173 171125 180375 266955 308025 444925 513375 541125 800865 1334775 1540125 2224625 4004325 6673875 20021625