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172225 = 52832
BaseRepresentation
bin101010000011000001
322202020201
4222003001
521002400
63405201
71315054
oct520301
9282221
10172225
11108439
1283801
1360511
1446a9b
153606a
hex2a0c1

172225 has 9 divisors (see below), whose sum is σ = 216163. Its totient is φ = 136120.

The previous prime is 172223. The next prime is 172243. The reversal of 172225 is 522271.

172225 = T414 + T415.

The square root of 172225 is 415.

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., 62001 + 110224 = 249^2 + 332^2 .

It is not a de Polignac number, because 172225 - 21 = 172223 is a prime.

It is a super-2 number, since 2×1722252 = 59322901250, which contains 22 as substring.

It is a Duffinian number.

172225 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (172223) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2034 + ... + 2116.

2172225 is an apocalyptic number.

172225 is the 415-th square number.

172225 is the 208-th centered octagonal number.

It is an amenable number.

172225 is a deficient number, since it is larger than the sum of its proper divisors (43938).

172225 is an frugal number, since it uses more digits than its factorization.

172225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 88 counting only the distinct ones).

The product of its digits is 280, while the sum is 19.

The cubic root of 172225 is about 55.6372169437.

Adding to 172225 its reverse (522271), we get a palindrome (694496).

The spelling of 172225 in words is "one hundred seventy-two thousand, two hundred twenty-five".

Divisors: 1 5 25 83 415 2075 6889 34445 172225