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20225625 = 35472367
BaseRepresentation
bin100110100100…
…1111001011001
31102001120100020
41031021321121
520134210000
62001301053
7333625560
oct115117131
942046306
1020225625
11104648a2
126934789
134262034
142986bd7
151b97ba0
hex1349e59

20225625 has 80 divisors (see below), whose sum is σ = 40786944. Its totient is φ = 8712000.

The previous prime is 20225617. The next prime is 20225629. The reversal of 20225625 is 52652202.

It is not a de Polignac number, because 20225625 - 23 = 20225617 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20225595 and 20225604.

It is not an unprimeable number, because it can be changed into a prime (20225629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301842 + ... + 301908.

Almost surely, 220225625 is an apocalyptic number.

20225625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20225625 is an abundant number, since it is smaller than the sum of its proper divisors (20561319).

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

20225625 is an equidigital number, since it uses as much as digits as its factorization.

20225625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 20225625 is about 4497.2908511681. The cubic root of 20225625 is about 272.4586812756.

Adding to 20225625 its reverse (52652202), we get a palindrome (72877827).

The spelling of 20225625 in words is "twenty million, two hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 67 69 75 105 115 125 161 175 201 335 345 375 469 483 525 575 625 805 875 1005 1407 1541 1675 1725 1875 2345 2415 2625 2875 4025 4375 4623 5025 7035 7705 8375 8625 10787 11725 12075 13125 14375 20125 23115 25125 32361 35175 38525 41875 43125 53935 58625 60375 100625 115575 125625 161805 175875 192625 269675 293125 301875 577875 809025 879375 963125 1348375 2889375 4045125 6741875 20225625