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1103236225 = 5272132732
BaseRepresentation
bin100000111000010…
…0000110010000001
32211212221012120221
41001300200302001
54224412024400
6301250103041
736224232100
oct10160406201
92755835527
101103236225
11516825783
1226957aa81
13147744a00
14a6742037
1566cc4c1a
hex41c20c81

1103236225 has 81 divisors (see below), whose sum is σ = 1747119483. Its totient is φ = 688746240.

The previous prime is 1103236219. The next prime is 1103236229. The reversal of 1103236225 is 5226323011.

The square root of 1103236225 is 33215.

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

It can be written as a sum of positive squares in 13 ways, for example, as 993573441 + 109662784 = 31521^2 + 10472^2 .

It is not a de Polignac number, because 1103236225 - 211 = 1103234177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1103236225.

It is not an unprimeable number, because it can be changed into a prime (1103236229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15112789 + ... + 15112861.

Almost surely, 21103236225 is an apocalyptic number.

1103236225 is the 33215-th square number.

1103236225 is the 16608-th centered octagonal number.

It is an amenable number.

1103236225 is a deficient number, since it is larger than the sum of its proper divisors (643883258).

1103236225 is an equidigital number, since it uses as much as digits as its factorization.

1103236225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The cubic root of 1103236225 is about 1033.2914548296.

Multiplying 1103236225 by its sum of digits (25), we get a square (27580905625 = 1660752).

1103236225 divided by its sum of digits (25) gives a square (44129449 = 66432).

Adding to 1103236225 its reverse (5226323011), we get a palindrome (6329559236).

The spelling of 1103236225 in words is "one billion, one hundred three million, two hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 73 91 169 175 245 325 365 455 511 637 845 949 1183 1225 1825 2275 2555 3185 3577 4225 4745 5329 5915 6643 8281 12337 12775 15925 17885 23725 26645 29575 33215 37303 41405 46501 61685 69277 86359 89425 133225 166075 186515 207025 232505 261121 308425 346385 431795 484939 604513 900601 932575 1162525 1305605 1731925 2158975 2424695 3022565 3394573 4503005 6304207 6528025 12123475 15112825 16972865 22515025 31521035 44129449 84864325 157605175 220647245 1103236225