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228639840 = 253511133331
BaseRepresentation
bin11011010000011…
…00010001100000
3120221020002220020
431220030101200
5432012433330
634404313440
75444256312
oct1550142140
9527202806
10228639840
11108074550
12646a2880
13384a4160
14225197b2
1515115210
hexda0c460

228639840 has 192 divisors, whose sum is σ = 846381312. Its totient is φ = 51148800.

The previous prime is 228639823. The next prime is 228639841. The reversal of 228639840 is 48936822.

It is a junction number, because it is equal to n+sod(n) for n = 228639792 and 228639801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228639841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66975 + ... + 70305.

It is an arithmetic number, because the mean of its divisors is an integer number (4408236).

Almost surely, 2228639840 is an apocalyptic number.

228639840 is a gapful number since it is divisible by the number (20) 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 228639840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423190656).

228639840 is an abundant number, since it is smaller than the sum of its proper divisors (617741472).

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

228639840 is a wasteful number, since it uses less digits than its factorization.

228639840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 228639840 is about 15120.8412464386. The cubic root of 228639840 is about 611.4824108578.

The spelling of 228639840 in words is "two hundred twenty-eight million, six hundred thirty-nine thousand, eight hundred forty".