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172003225 = 52432612
BaseRepresentation
bin10100100000010…
…00111110011001
3102222122200001211
422100020332121
5323013100400
625022343121
74156001062
oct1220107631
9388580054
10172003225
1189100629
124972aaa1
1329834074
1418bb5569
1510178dba
hexa408f99

172003225 has 27 divisors (see below), whose sum is σ = 221997789. Its totient is φ = 132199200.

The previous prime is 172003211. The next prime is 172003243. The reversal of 172003225 is 522300271.

The square root of 172003225 is 13115.

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 79227801 + 92775424 = 8901^2 + 9632^2 .

It is not a de Polignac number, because 172003225 - 29 = 172002713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 172003196 and 172003205.

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, 2819695 + ... + 2819755.

Almost surely, 2172003225 is an apocalyptic number.

172003225 is the 13115-th square number.

172003225 is the 6558-th centered octagonal number.

It is an amenable number.

172003225 is a deficient number, since it is larger than the sum of its proper divisors (49994564).

172003225 is an frugal number, since it uses more digits than its factorization.

172003225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The cubic root of 172003225 is about 556.1332524415.

Adding to 172003225 its reverse (522300271), we get a palindrome (694303496).

The spelling of 172003225 in words is "one hundred seventy-two million, three thousand, two hundred twenty-five".

Divisors: 1 5 25 43 61 215 305 1075 1525 1849 2623 3721 9245 13115 18605 46225 65575 93025 112789 160003 563945 800015 2819725 4000075 6880129 34400645 172003225