Search a number
-
+
12015448225 = 5211219932
BaseRepresentation
bin10110011000010110…
…10011000010100001
31011000101012000022221
423030023103002201
5144101423320400
65304140431041
7603516424204
oct131413230241
934011160287
1012015448225
115106453100
1223b3b48481
1311964131a1
1481dabd93b
154a4cc2c1a
hex2cc2d30a1

12015448225 has 27 divisors (see below), whose sum is σ = 16384979289. Its totient is φ = 8734123200.

The previous prime is 12015448201. The next prime is 12015448253. The reversal of 12015448225 is 52284451021.

The square root of 12015448225 is 109615.

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

It can be written as a sum of positive squares in 4 ways, for example, as 117874449 + 11897573776 = 10857^2 + 109076^2 .

It is not a de Polignac number, because 12015448225 - 221 = 12013351073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6027829 + ... + 6029821.

Almost surely, 212015448225 is an apocalyptic number.

12015448225 is the 109615-th square number.

12015448225 is the 54808-th centered octagonal number.

It is an amenable number.

12015448225 is a deficient number, since it is larger than the sum of its proper divisors (4369531064).

12015448225 is an frugal number, since it uses more digits than its factorization.

12015448225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

Multiplying 12015448225 by its product of nonzero digits (25600), we get a square (307595474560000 = 175384002).

Adding to 12015448225 its reverse (52284451021), we get a palindrome (64299899246).

The spelling of 12015448225 in words is "twelve billion, fifteen million, four hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 1993 3025 9965 21923 49825 109615 241153 548075 1205765 3972049 6028825 19860245 43692539 99301225 218462695 480617929 1092313475 2403089645 12015448225