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228369225960 = 23345175378229
BaseRepresentation
bin1101010010101111011…
…1011101100011101000
3210211110102222200110000
43110223313131203220
512220200010212320
6252524505023000
722333126251411
oct3245367354350
9724412880400
10228369225960
118893a524597
1238314484a60
13186c5895105
14b0a5b04808
155e18d20c90
hex352bddd8e8

228369225960 has 320 divisors, whose sum is σ = 828070808400. Its totient is φ = 56234041344.

The previous prime is 228369225937. The next prime is 228369226039. The reversal of 228369225960 is 69522963822.

228369225960 is a `hidden beast` number, since 2 + 28 + 3 + 6 + 9 + 22 + 596 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 182340956196 + 46028269764 = 427014^2 + 214542^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 228369225897 and 228369225906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2880126 + ... + 2958354.

Almost surely, 2228369225960 is an apocalyptic number.

228369225960 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 228369225960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414035404200).

228369225960 is an abundant number, since it is smaller than the sum of its proper divisors (599701582440).

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

228369225960 is a wasteful number, since it uses less digits than its factorization.

228369225960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78322 (or 78309 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 228369225960 in words is "two hundred twenty-eight billion, three hundred sixty-nine million, two hundred twenty-five thousand, nine hundred sixty".