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8980405225 = 5211217232
BaseRepresentation
bin10000101110100011…
…00001101111101001
3212011212012212000221
420113101201233221
5121342440431400
64043041130041
7435354120301
oct102721415751
925155185027
108980405225
113899228400
1218a7629921
13b016ac45c
14612994601
1537860ac1a
hex217461be9

8980405225 has 27 divisors (see below), whose sum is σ = 12247177719. Its totient is φ = 6527413200.

The previous prime is 8980405207. The next prime is 8980405241. The reversal of 8980405225 is 5225040898.

The square root of 8980405225 is 94765.

It is a perfect power (a square), and thus also a powerful number.

8980405225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3232945881 + 5747459344 = 56859^2 + 75812^2 .

It is not a de Polignac number, because 8980405225 - 231 = 6832921577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5211214 + ... + 5212936.

Almost surely, 28980405225 is an apocalyptic number.

8980405225 is the 94765-th square number.

8980405225 is the 47383-rd centered octagonal number.

It is an amenable number.

8980405225 is a deficient number, since it is larger than the sum of its proper divisors (3266772494).

8980405225 is an equidigital number, since it uses as much as digits as its factorization.

8980405225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The cubic root of 8980405225 is about 2078.5731419301.

The spelling of 8980405225 in words is "eight billion, nine hundred eighty million, four hundred five thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 1723 3025 8615 18953 43075 94765 208483 473825 1042415 2968729 5212075 14843645 32656019 74218225 163280095 359216209 816400475 1796081045 8980405225