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228570048 = 2632783683
BaseRepresentation
bin11011001111110…
…11001111000000
3120221002120011100
431213323033000
5432003220143
634403014400
75443545660
oct1547731700
9527076140
10228570048
11108027073
126466a400
133847b465
14224dc1a0
15150ee6d3
hexd9fb3c0

228570048 has 168 divisors, whose sum is σ = 758878848. Its totient is φ = 64424448.

The previous prime is 228570047. The next prime is 228570073. The reversal of 228570048 is 840075822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 228569994 and 228570021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228570047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334315 + ... + 334997.

It is an arithmetic number, because the mean of its divisors is an integer number (4517136).

Almost surely, 2228570048 is an apocalyptic number.

228570048 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 228570048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379439424).

228570048 is an abundant number, since it is smaller than the sum of its proper divisors (530308800).

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

228570048 is a wasteful number, since it uses less digits than its factorization.

228570048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 228570048 is about 15118.5332621918. The cubic root of 228570048 is about 611.4201864682.

The spelling of 228570048 in words is "two hundred twenty-eight million, five hundred seventy thousand, forty-eight".