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149206225 = 52723492
BaseRepresentation
bin10001110010010…
…11010011010001
3101101202110110111
420321023103101
5301144044400
622450001321
73461142400
oct1071132321
9341673414
10149206225
117724a933
1241b76241
1324bb180c
1415b5d637
15d1743ba
hex8e4b4d1

149206225 has 27 divisors (see below), whose sum is σ = 215840817. Its totient is φ = 102019680.

The previous prime is 149206219. The next prime is 149206241. The reversal of 149206225 is 522602941.

The square root of 149206225 is 12215.

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 1535121 + 147671104 = 1239^2 + 12152^2 .

It is not a de Polignac number, because 149206225 - 29 = 149205713 is a prime.

It is a Duffinian number.

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, 427351 + ... + 427699.

Almost surely, 2149206225 is an apocalyptic number.

149206225 is the 12215-th square number.

149206225 is the 6108-th centered octagonal number.

It is an amenable number.

149206225 is a deficient number, since it is larger than the sum of its proper divisors (66634592).

149206225 is an frugal number, since it uses more digits than its factorization.

149206225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 149206225 is about 530.3903911429.

The spelling of 149206225 in words is "one hundred forty-nine million, two hundred six thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 349 1225 1745 2443 8725 12215 17101 61075 85505 121801 427525 609005 852607 3045025 4263035 5968249 21315175 29841245 149206225