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228567040 = 21151317101
BaseRepresentation
bin11011001111110…
…10100000000000
3120221002102000221
431213322200000
5432003121130
634402552424
75443534132
oct1547724000
9527072027
10228567040
11108024889
1264668714
1338479c90
14224db052
15150ed87a
hexd9fa800

228567040 has 192 divisors, whose sum is σ = 631547280. Its totient is φ = 78643200.

The previous prime is 228567029. The next prime is 228567133. The reversal of 228567040 is 40765822.

It can be written as a sum of positive squares in 8 ways, for example, as 153363456 + 75203584 = 12384^2 + 8672^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 228566987 and 228567005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2262990 + ... + 2263090.

Almost surely, 2228567040 is an apocalyptic number.

228567040 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 228567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315773640).

228567040 is an abundant number, since it is smaller than the sum of its proper divisors (402980240).

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

228567040 is a wasteful number, since it uses less digits than its factorization.

228567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 228567040 is about 15118.4337813148. The cubic root of 228567040 is about 611.4175043436.

The spelling of 228567040 in words is "two hundred twenty-eight million, five hundred sixty-seven thousand, forty".