Search a number
-
+
228816100 = 22522288161
BaseRepresentation
bin11011010001101…
…11010011100100
3120221120001200101
431220313103210
5432034103400
634412153444
75445622222
oct1550672344
9527501611
10228816100
11108184a17
1264768884
1338536456
1422563b12
151514c56a
hexda374e4

228816100 has 18 divisors (see below), whose sum is σ = 496531154. Its totient is φ = 91526400.

The previous prime is 228816089. The next prime is 228816109. The reversal of 228816100 is 1618822.

It can be written as a sum of positive squares in 3 ways, for example, as 443556 + 228372544 = 666^2 + 15112^2 .

It is not an unprimeable number, because it can be changed into a prime (228816109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1143981 + ... + 1144180.

Almost surely, 2228816100 is an apocalyptic number.

228816100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228816100 is an abundant number, since it is smaller than the sum of its proper divisors (267715054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228816100 is a wasteful number, since it uses less digits than its factorization.

228816100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288175 (or 2288168 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 228816100 is about 15126.6685030115. The cubic root of 228816100 is about 611.6395024733.

The spelling of 228816100 in words is "two hundred twenty-eight million, eight hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2288161 4576322 9152644 11440805 22881610 45763220 57204025 114408050 228816100