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226171521 = 365572
BaseRepresentation
bin11010111101100…
…01101010000001
3120202120201000000
431132301222001
5430344442041
634235350213
75414266122
oct1536615201
9522521000
10226171521
11106739014
12638b2369
1337b1b804
1422076049
1514cc8bb6
hexd7b1a81

226171521 has 21 divisors (see below), whose sum is σ = 339712051. Its totient is φ = 150510312.

The previous prime is 226171513. The next prime is 226171523. The reversal of 226171521 is 125171622.

The square root of 226171521 is 15039.

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

226171521 is a `hidden beast` number, since 22 + 617 + 1 + 5 + 21 = 666.

226171521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 19847025 + 206324496 = 4455^2 + 14364^2 .

It is not a de Polignac number, because 226171521 - 23 = 226171513 is a prime.

It is a super-3 number, since 3×2261715213 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

Its product of digits (1680) is a multiple of the sum of its prime divisors (560).

It is not an unprimeable number, because it can be changed into a prime (226171523) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 405775 + ... + 406331.

Almost surely, 2226171521 is an apocalyptic number.

226171521 is the 15039-th square number.

226171521 is the 7520-th centered octagonal number.

It is an amenable number.

226171521 is a deficient number, since it is larger than the sum of its proper divisors (113540530).

226171521 is an frugal number, since it uses more digits than its factorization.

226171521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 560 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The cubic root of 226171521 is about 609.2739915894.

The spelling of 226171521 in words is "two hundred twenty-six million, one hundred seventy-one thousand, five hundred twenty-one".

Divisors: 1 3 9 27 81 243 557 729 1671 5013 15039 45117 135351 310249 406053 930747 2792241 8376723 25130169 75390507 226171521