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228360384 = 2634722931
BaseRepresentation
bin11011001110010…
…00000011000000
3120220200220120000
431213020003000
5431430013014
634354320000
75442013500
oct1547100300
9526626500
10228360384
111079a359a
1264589000
1338406bb5
1422485a00
15150ac509
hexd9c80c0

228360384 has 420 divisors, whose sum is σ = 840882240. Its totient is φ = 60963840.

The previous prime is 228360361. The next prime is 228360389. The reversal of 228360384 is 483063822.

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

It is not an unprimeable number, because it can be changed into a prime (228360389) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7366449 + ... + 7366479.

Almost surely, 2228360384 is an apocalyptic number.

228360384 is a gapful number since it is divisible by the number (24) 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 228360384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420441120).

228360384 is an abundant number, since it is smaller than the sum of its proper divisors (612521856).

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

228360384 is a wasteful number, since it uses less digits than its factorization.

228360384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

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

The square root of 228360384 is about 15111.5976653695. The cubic root of 228360384 is about 611.2331803118.

The spelling of 228360384 in words is "two hundred twenty-eight million, three hundred sixty thousand, three hundred eighty-four".