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228483360 = 253257191193
BaseRepresentation
bin11011001111001…
…10000100100000
3120220221011020200
431213212010200
5431442431420
634401105200
75443035150
oct1547460440
9526834220
10228483360
11107a77a26
1264628200
133844ab71
14224b8760
15150d3b90
hexd9e6120

228483360 has 288 divisors, whose sum is σ = 938770560. Its totient is φ = 49434624.

The previous prime is 228483337. The next prime is 228483389. The reversal of 228483360 is 63384822.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 190924 + ... + 192116.

It is an arithmetic number, because the mean of its divisors is an integer number (3259620).

Almost surely, 2228483360 is an apocalyptic number.

228483360 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 228483360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469385280).

228483360 is an abundant number, since it is smaller than the sum of its proper divisors (710287200).

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

228483360 is a wasteful number, since it uses less digits than its factorization.

228483360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 228483360 is about 15115.6660455304. Note that the first 3 decimals coincide. The cubic root of 228483360 is about 611.3428804874.

The spelling of 228483360 in words is "two hundred twenty-eight million, four hundred eighty-three thousand, three hundred sixty".