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228484080 = 2432511171697
BaseRepresentation
bin11011001111001…
…10001111110000
3120220221012020100
431213212033300
5431442442310
634401112400
75443040226
oct1547461760
9526835210
10228484080
11107a78520
1264628700
133844b2a6
14224b8b16
15150d3ec0
hexd9e63f0

228484080 has 240 divisors, whose sum is σ = 886845024. Its totient is φ = 52101120.

The previous prime is 228484073. The next prime is 228484099. The reversal of 228484080 is 80484822.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 133792 + ... + 135488.

Almost surely, 2228484080 is an apocalyptic number.

228484080 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 228484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443422512).

228484080 is an abundant number, since it is smaller than the sum of its proper divisors (658360944).

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

228484080 is a wasteful number, since it uses less digits than its factorization.

228484080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 228484080 is about 15115.6898618621. The cubic root of 228484080 is about 611.3435226442.

The spelling of 228484080 in words is "two hundred twenty-eight million, four hundred eighty-four thousand, eighty".