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150430225 = 521122232
BaseRepresentation
bin10001111011101…
…10001000010001
3101111001122110211
420331312020101
5302002231400
622532124121
73504431041
oct1075661021
9344048424
10150430225
1177a06500
1242466641
132521c98a
1415d9b721
15d316dba
hex8f76211

150430225 has 27 divisors (see below), whose sum is σ = 205956219. Its totient is φ = 108913200.

The previous prime is 150430199. The next prime is 150430243. The reversal of 150430225 is 522034051.

The square root of 150430225 is 12265.

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., 54154881 + 96275344 = 7359^2 + 9812^2 .

It is not a de Polignac number, because 150430225 - 25 = 150430193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 150430196 and 150430205.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 674464 + ... + 674686.

Almost surely, 2150430225 is an apocalyptic number.

150430225 is the 12265-th square number.

150430225 is the 6133-rd centered octagonal number.

It is an amenable number.

150430225 is a deficient number, since it is larger than the sum of its proper divisors (55525994).

150430225 is an equidigital number, since it uses as much as digits as its factorization.

150430225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The cubic root of 150430225 is about 531.8367800206.

Adding to 150430225 its reverse (522034051), we get a palindrome (672464276).

The spelling of 150430225 in words is "one hundred fifty million, four hundred thirty thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 223 275 605 1115 2453 3025 5575 12265 26983 49729 61325 134915 248645 547019 674575 1243225 2735095 6017209 13675475 30086045 150430225