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228584161 = 13211632
BaseRepresentation
bin11011001111111…
…10101011100001
3120221010021112001
431213332223201
5432004143121
634403204001
75443635061
oct1547765341
9527107461
10228584161
11108036733
1264676601
1338484a00
14225033a1
1515103991
hexd9feae1

228584161 has 9 divisors (see below), whose sum is σ = 247733139. Its totient is φ = 210819336.

The previous prime is 228584137. The next prime is 228584179. The reversal of 228584161 is 161485822.

The square root of 228584161 is 15119.

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., 33814225 + 194769936 = 5815^2 + 13956^2 .

It is not a de Polignac number, because 228584161 - 213 = 228575969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 228584161.

It is not an unprimeable number, because it can be changed into a prime (228584131) 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, 195966 + ... + 197128.

Almost surely, 2228584161 is an apocalyptic number.

228584161 is the 15119-th square number.

228584161 is the 7560-th centered octagonal number.

It is an amenable number.

228584161 is a deficient number, since it is larger than the sum of its proper divisors (19148978).

228584161 is an frugal number, since it uses more digits than its factorization.

228584161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 1176 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The cubic root of 228584161 is about 611.4327702043.

The spelling of 228584161 in words is "two hundred twenty-eight million, five hundred eighty-four thousand, one hundred sixty-one".

Divisors: 1 13 169 1163 15119 196547 1352569 17583397 228584161