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505220000 = 255425261
BaseRepresentation
bin11110000111010…
…000101110100000
31022012122211112212
4132013100232200
52013314020000
6122044341252
715343204415
oct3607205640
91265584485
10505220000
1123a20229a
12121244828
138089205c
144b15410c
152e549c35
hex1e1d0ba0

505220000 has 60 divisors (see below), whose sum is σ = 1242966186. Its totient is φ = 202080000.

The previous prime is 505219997. The next prime is 505220003. The reversal of 505220000 is 22505.

It is an interprime number because it is at equal distance from previous prime (505219997) and next prime (505220003).

It can be written as a sum of positive squares in 5 ways, for example, as 5071504 + 500148496 = 2252^2 + 22364^2 .

It is not an unprimeable number, because it can be changed into a prime (505220003) 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 9 ways as a sum of consecutive naturals, for example, 7370 + ... + 32630.

Almost surely, 2505220000 is an apocalyptic number.

505220000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621483093).

505220000 is an abundant number, since it is smaller than the sum of its proper divisors (737746186).

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

505220000 is an equidigital number, since it uses as much as digits as its factorization.

505220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25291 (or 25268 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 505220000 is about 22477.0994570029. The cubic root of 505220000 is about 796.4530471484.

Adding to 505220000 its reverse (22505), we get a palindrome (505242505).

It can be divided in two parts, 5052 and 20000, that added together give a palindrome (25052).

The spelling of 505220000 in words is "five hundred five million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 25261 50522 101044 126305 202088 252610 404176 505220 631525 808352 1010440 1263050 2020880 2526100 3157625 4041760 5052200 6315250 10104400 12630500 15788125 20208800 25261000 31576250 50522000 63152500 101044000 126305000 252610000 505220000