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228717888 = 2637323151
BaseRepresentation
bin11011010000111…
…11010101000000
3120221101001221220
431220133111000
5432022433023
634410115040
75445033000
oct1550372500
9527331856
10228717888
11108118153
126471ba80
1338500839
142253a000
151512d3e3
hexda1f540

228717888 has 224 divisors, whose sum is σ = 741273600. Its totient is φ = 62092800.

The previous prime is 228717887. The next prime is 228717889. The reversal of 228717888 is 888717822.

It is an interprime number because it is at equal distance from previous prime (228717887) and next prime (228717889).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 228717888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228717883) 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 31 ways as a sum of consecutive naturals, for example, 1514613 + ... + 1514763.

Almost surely, 2228717888 is an apocalyptic number.

228717888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228717888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370636800).

228717888 is an abundant number, since it is smaller than the sum of its proper divisors (512555712).

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

228717888 is a wasteful number, since it uses less digits than its factorization.

228717888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 186 counting only the distinct ones).

The product of its digits is 802816, while the sum is 51.

The square root of 228717888 is about 15123.4218350213. The cubic root of 228717888 is about 611.5519810456.

The spelling of 228717888 in words is "two hundred twenty-eight million, seven hundred seventeen thousand, eight hundred eighty-eight".