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228611232 = 2532793789
BaseRepresentation
bin11011010000001…
…01010010100000
3120221011122122200
431220011102200
5432011024412
634403533200
75444110023
oct1550052240
9527148580
10228611232
11108055003
126468a200
1338494125
142250d1ba
151510b9dc
hexda054a0

228611232 has 36 divisors (see below), whose sum is σ = 650114010. Its totient is φ = 76203648.

The previous prime is 228611231. The next prime is 228611233. The reversal of 228611232 is 232116822.

228611232 is a `hidden beast` number, since 2 + 28 + 611 + 23 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (228611231) and next prime (228611233).

It can be written as a sum of positive squares in only one way, i.e., 179667216 + 48944016 = 13404^2 + 6996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 228611196 and 228611205.

It is not an unprimeable number, because it can be changed into a prime (228611231) 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, 396607 + ... + 397182.

Almost surely, 2228611232 is an apocalyptic number.

It is an amenable number.

228611232 is an abundant number, since it is smaller than the sum of its proper divisors (421502778).

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

228611232 is a wasteful number, since it uses less digits than its factorization.

228611232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793805 (or 793794 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 228611232 is about 15119.8952377323. The cubic root of 228611232 is about 611.4569063810.

It can be divided in two parts, 2286112 and 32, that added together give a square (2286144 = 15122).

The spelling of 228611232 in words is "two hundred twenty-eight million, six hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 793789 1587578 2381367 3175156 4762734 6350312 7144101 9525468 12700624 14288202 19050936 25401248 28576404 38101872 57152808 76203744 114305616 228611232