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228635136 = 293437149
BaseRepresentation
bin11011010000010…
…11001000000000
3120221012212110000
431220023020000
5432012311021
634404240000
75444236512
oct1550131000
9527185400
10228635136
11108070a64
12646a0000
13384a1c82
1422517bb2
1515113b26
hexda0b200

228635136 has 200 divisors, whose sum is σ = 705563100. Its totient is φ = 73654272.

The previous prime is 228635107. The next prime is 228635153. The reversal of 228635136 is 631536822.

It is a happy number.

228635136 is a `hidden beast` number, since 2 + 2 + 8 + 635 + 13 + 6 = 666.

228635136 is digitally balanced in base 3, 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 228614400 + 20736 = 15120^2 + 144^2 .

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

Its product of digits (51840) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 228635136.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1534390 + ... + 1534538.

Almost surely, 2228635136 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 228635136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352781550).

228635136 is an abundant number, since it is smaller than the sum of its proper divisors (476927964).

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

228635136 is an equidigital number, since it uses as much as digits as its factorization.

228635136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 228635136 is about 15120.6856987373. The cubic root of 228635136 is about 611.4782173148.

The spelling of 228635136 in words is "two hundred twenty-eight million, six hundred thirty-five thousand, one hundred thirty-six".