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20717284225 = 5211226172
BaseRepresentation
bin10011010010110110…
…001010101110000001
31222110211020002020011
4103102312022232001
5314412111043400
613303431144521
71332252003361
oct232266125601
958424202204
1020717284225
118871404300
124022215141
131c52189281
14100767c9a1
15813c048ba
hex4d2d8ab81

20717284225 has 27 divisors (see below), whose sum is σ = 28247938761. Its totient is φ = 15061358400.

The previous prime is 20717284193. The next prime is 20717284229. The reversal of 20717284225 is 52248271702.

The square root of 20717284225 is 143935.

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 4536426609 + 16180857616 = 67353^2 + 127204^2 .

It is not a de Polignac number, because 20717284225 - 25 = 20717284193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20717284229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7915117 + ... + 7917733.

Almost surely, 220717284225 is an apocalyptic number.

20717284225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20717284225 is the 143935-th square number.

20717284225 is the 71968-th centered octagonal number.

It is an amenable number.

20717284225 is a deficient number, since it is larger than the sum of its proper divisors (7530654536).

20717284225 is an frugal number, since it uses more digits than its factorization.

20717284225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5266 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 20717284225 in words is "twenty billion, seven hundred seventeen million, two hundred eighty-four thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 2617 3025 13085 28787 65425 143935 316657 719675 1583285 6848689 7916425 34243445 75335579 171217225 376677895 828691369 1883389475 4143456845 20717284225