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2182291225 = 5293432
BaseRepresentation
bin1000001000010011…
…0001111100011001
312122002100212202221
42002010301330121
513432131304400
61000314024041
7105036112042
oct20204617431
95562325687
102182291225
11a1a934774
1250aa18021
1328a1710aa
14169b8b8c9
15cb8bec1a
hex82131f19

2182291225 has 9 divisors (see below), whose sum is σ = 2706330783. Its totient is φ = 1745646120.

The previous prime is 2182291219. The next prime is 2182291229. The reversal of 2182291225 is 5221922812.

It is a happy number.

The square root of 2182291225 is 46715.

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

It can be written as a sum of positive squares in only one way, i.e., 785624841 + 1396666384 = 28029^2 + 37372^2 .

It is not a de Polignac number, because 2182291225 - 23 = 2182291217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2182291229) 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 8 ways as a sum of consecutive naturals, for example, 228904 + ... + 238246.

Almost surely, 22182291225 is an apocalyptic number.

2182291225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2182291225 is the 46715-th square number.

2182291225 is the 23358-th centered octagonal number.

It is an amenable number.

2182291225 is a deficient number, since it is larger than the sum of its proper divisors (524039558).

2182291225 is an frugal number, since it uses more digits than its factorization.

2182291225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18696 (or 9348 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The cubic root of 2182291225 is about 1297.0923624444.

The spelling of 2182291225 in words is "two billion, one hundred eighty-two million, two hundred ninety-one thousand, two hundred twenty-five".

Divisors: 1 5 25 9343 46715 233575 87291649 436458245 2182291225