Search a number
-
+
153388225 = 5224772
BaseRepresentation
bin10010010010010…
…00010011000001
3101200121221002101
421021020103001
5303231410400
623115350401
73541530664
oct1111102301
9350557071
10153388225
1179646931
1243452401
1325a17183
141652b6db
15d6ed56a
hex92484c1

153388225 has 9 divisors (see below), whose sum is σ = 190278217. Its totient is φ = 122661040.

The previous prime is 153388223. The next prime is 153388237. The reversal of 153388225 is 522883351.

The square root of 153388225 is 12385.

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 2982529 + 150405696 = 1727^2 + 12264^2 .

It is not a de Polignac number, because 153388225 - 21 = 153388223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153388223) 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, 60687 + ... + 63163.

Almost surely, 2153388225 is an apocalyptic number.

153388225 is the 12385-th square number.

153388225 is the 6193-rd centered octagonal number.

It is an amenable number.

153388225 is a deficient number, since it is larger than the sum of its proper divisors (36889992).

153388225 is an frugal number, since it uses more digits than its factorization.

153388225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 2482 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The cubic root of 153388225 is about 535.3001198446.

Multiplying 153388225 by its product of digits (57600), we get a square (8835161760000 = 29724002).

The spelling of 153388225 in words is "one hundred fifty-three million, three hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 2477 12385 61925 6135529 30677645 153388225