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228772131 = 3721679319
BaseRepresentation
bin11011010001011…
…00100100100011
3120221110211100220
431220230210203
5432031202011
634411214123
75445350100
oct1550544443
9527424326
10228772131
11108154985
1264747343
133851c433
1422551aa7
151513e506
hexda2c923

228772131 has 24 divisors (see below), whose sum is σ = 356993280. Its totient is φ = 129930192.

The previous prime is 228772091. The next prime is 228772151. The reversal of 228772131 is 131277822.

It is not a de Polignac number, because 228772131 - 217 = 228641059 is a prime.

It is a super-2 number, since 2×2287721312 = 104673375844562322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 228772092 and 228772101.

It is not an unprimeable number, because it can be changed into a prime (228772151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19890 + ... + 29208.

It is an arithmetic number, because the mean of its divisors is an integer number (14874720).

Almost surely, 2228772131 is an apocalyptic number.

228772131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

228772131 is a deficient number, since it is larger than the sum of its proper divisors (128221149).

228772131 is a wasteful number, since it uses less digits than its factorization.

228772131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503 (or 9496 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 228772131 is about 15125.2150728510. The cubic root of 228772131 is about 611.6003226836.

The spelling of 228772131 in words is "two hundred twenty-eight million, seven hundred seventy-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 147 167 501 1169 3507 8183 9319 24549 27957 65233 195699 456631 1369893 1556273 4668819 10893911 32681733 76257377 228772131