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228515760 = 243251124361
BaseRepresentation
bin11011001111011…
…01111110110000
3120220222210200200
431213231332300
5432000001020
634401515200
75443231464
oct1547557660
9526883620
10228515760
11107a9a300
1264642b00
133845c835
14224c64a4
15150dd590
hexd9edfb0

228515760 has 360 divisors, whose sum is σ = 877308432. Its totient is φ = 53222400.

The previous prime is 228515759. The next prime is 228515789. The reversal of 228515760 is 67515822.

It is a happy number.

228515760 is a `hidden beast` number, since 2 + 2 + 85 + 1 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3746130 + ... + 3746190.

Almost surely, 2228515760 is an apocalyptic number.

228515760 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 228515760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438654216).

228515760 is an abundant number, since it is smaller than the sum of its proper divisors (648792672).

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

228515760 is a wasteful number, since it uses less digits than its factorization.

228515760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 228515760 is about 15116.7377433096. The cubic root of 228515760 is about 611.3717762068.

The spelling of 228515760 in words is "two hundred twenty-eight million, five hundred fifteen thousand, seven hundred sixty".