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228870768 = 24372314373
BaseRepresentation
bin11011010010001…
…00101001110000
3120221122211200010
431221010221300
5432042331033
634413254520
75446240500
oct1551045160
9527584603
10228870768
11108211aa5
1264794440
13385552b9
1422579a00
151515d863
hexda44a70

228870768 has 240 divisors, whose sum is σ = 736429056. Its totient is φ = 60963840.

The previous prime is 228870739. The next prime is 228870781. The reversal of 228870768 is 867078822.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3135180 + ... + 3135252.

Almost surely, 2228870768 is an apocalyptic number.

228870768 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 228870768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368214528).

228870768 is an abundant number, since it is smaller than the sum of its proper divisors (507558288).

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

228870768 is a wasteful number, since it uses less digits than its factorization.

228870768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 228870768 is about 15128.4754023662. The cubic root of 228870768 is about 611.6882089029.

The spelling of 228870768 in words is "two hundred twenty-eight million, eight hundred seventy thousand, seven hundred sixty-eight".