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981882225 = 325220892
BaseRepresentation
bin111010100001100…
…101010101110001
32112102120210012100
4322201211111301
54002330212400
6241233051013
733221601252
oct7241452561
92472523170
10981882225
11464279715
122349b6a69
131285656cc
1494592b29
155b303100
hex3a865571

981882225 has 27 divisors (see below), whose sum is σ = 1759502433. Its totient is φ = 523419840.

The previous prime is 981882191. The next prime is 981882229. The reversal of 981882225 is 522288189.

The square root of 981882225 is 31335.

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

981882225 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 4 ways, for example, as 81162081 + 900720144 = 9009^2 + 30012^2 .

It is not a de Polignac number, because 981882225 - 29 = 981881713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (981882229) 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, 468981 + ... + 471069.

Almost surely, 2981882225 is an apocalyptic number.

981882225 is the 31335-th square number.

981882225 is the 15668-th centered octagonal number.

It is an amenable number.

981882225 is a deficient number, since it is larger than the sum of its proper divisors (777620208).

981882225 is an equidigital number, since it uses as much as digits as its factorization.

981882225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 2097 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The cubic root of 981882225 is about 993.9238974187.

The spelling of 981882225 in words is "nine hundred eighty-one million, eight hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2089 6267 10445 18801 31335 52225 94005 156675 470025 4363921 13091763 21819605 39275289 65458815 109098025 196376445 327294075 981882225