Search a number
-
+
133056225 = 32527692
BaseRepresentation
bin1111110111001…
…00011011100001
3100021100221211100
413323210123201
5233030244400
621111505013
73203650011
oct773443341
9307327740
10133056225
116911a125
1238688169
13217488c3
1413957c41
15ba34100
hex7ee46e1

133056225 has 27 divisors (see below), whose sum is σ = 238628793. Its totient is φ = 70871040.

The previous prime is 133056199. The next prime is 133056241. The reversal of 133056225 is 522650331.

The square root of 133056225 is 11535.

It is a perfect power (a square), and thus also a powerful number.

133056225 is a `hidden beast` number, since 1 + 3 + 30 + 5 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8242641 + 124813584 = 2871^2 + 11172^2 .

It is not a de Polignac number, because 133056225 - 211 = 133054177 is a prime.

It is a super-2 number, since 2×1330562252 = 35407918022501250, which contains 22 as substring.

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, 172641 + ... + 173409.

Almost surely, 2133056225 is an apocalyptic number.

133056225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133056225 is the 11535-th square number.

133056225 is the 5768-th centered octagonal number.

It is an amenable number.

133056225 is a deficient number, since it is larger than the sum of its proper divisors (105572568).

133056225 is an frugal number, since it uses more digits than its factorization.

133056225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The cubic root of 133056225 is about 510.5187915788.

The spelling of 133056225 in words is "one hundred thirty-three million, fifty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 769 2307 3845 6921 11535 19225 34605 57675 173025 591361 1774083 2956805 5322249 8870415 14784025 26611245 44352075 133056225