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228815208 = 233213723197
BaseRepresentation
bin11011010001101…
…11000101101000
3120221120000110100
431220313011220
5432034041313
634412145400
75445616506
oct1550670550
9527500410
10228815208
11108184286
1264768260
1338535c1b
1422563676
151514c173
hexda37168

228815208 has 48 divisors (see below), whose sum is σ = 624258180. Its totient is φ = 75711744.

The previous prime is 228815177. The next prime is 228815227. The reversal of 228815208 is 802518822.

It is a happy number.

228815208 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 2 ways, for example, as 210308004 + 18507204 = 14502^2 + 4302^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1735 + ... + 21462.

Almost surely, 2228815208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228815208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312129090).

228815208 is an abundant number, since it is smaller than the sum of its proper divisors (395442972).

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

228815208 is a wasteful number, since it uses less digits than its factorization.

228815208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23346 (or 23339 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 228815208 is about 15126.6390186320. The cubic root of 228815208 is about 611.6387076820.

The spelling of 228815208 in words is "two hundred twenty-eight million, eight hundred fifteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 23197 46394 69591 92788 139182 185576 208773 278364 417546 556728 835092 1670184 3177989 6355978 9533967 12711956 19067934 25423912 28601901 38135868 57203802 76271736 114407604 228815208