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20320056225 = 3352721771509
BaseRepresentation
bin10010111011001010…
…110111001110100001
31221110010202210212000
4102323022313032201
5313103413244400
613200201154213
71316356425300
oct227312671641
957403683760
1020320056225
118688161aa7
123b3118b969
131bbaaa8611
14daa9da437
157ddddc600
hex4bb2b73a1

20320056225 has 288 divisors, whose sum is σ = 46716652800. Its totient is φ = 8602675200.

The previous prime is 20320056209. The next prime is 20320056241. The reversal of 20320056225 is 52265002302.

20320056225 is a `hidden beast` number, since 2 + 0 + 32 + 0 + 0 + 5 + 622 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (20320056209) and next prime (20320056241).

It is not a de Polignac number, because 20320056225 - 24 = 20320056209 is a prime.

It is a super-2 number, since 2×203200562252 (a number of 21 digits) contains 22 as substring.

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

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 287 ways as a sum of consecutive naturals, for example, 39921271 + ... + 39921779.

It is an arithmetic number, because the mean of its divisors is an integer number (162210600).

Almost surely, 220320056225 is an apocalyptic number.

20320056225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20320056225 is an abundant number, since it is smaller than the sum of its proper divisors (26396596575).

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

20320056225 is a wasteful number, since it uses less digits than its factorization.

20320056225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 20320056225 its reverse (52265002302), we get a palindrome (72585058527).

The spelling of 20320056225 in words is "twenty billion, three hundred twenty million, fifty-six thousand, two hundred twenty-five".