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228885436264320 = 273451189131173199
BaseRepresentation
bin110100000010101110001011…
…000111110110111110000000
31010000102020022121000121210000
4310002232023013312332000
5220000024333140424240
62130444303503440000
766132266324410503
oct6402561307667600
91100366277017700
10228885436264320
1166a2584a816220
12218076455b6000
139a93a5b5a4794
14407418560713a
151b6dc7ea2b430
hexd02b8b1f6f80

228885436264320 has 2560 divisors, whose sum is σ = 918446221440000. Its totient is φ = 53858392473600.

The previous prime is 228885436264301. The next prime is 228885436264343. The reversal of 228885436264320 is 23462634588822.

228885436264320 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 8 + 5 + 43 + 6 + 264 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1150178071581 + ... + 1150178071779.

It is an arithmetic number, because the mean of its divisors is an integer number (358768055250).

Almost surely, 2228885436264320 is an apocalyptic number.

228885436264320 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 228885436264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459223110720000).

228885436264320 is an abundant number, since it is smaller than the sum of its proper divisors (689560785175680).

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

228885436264320 is a wasteful number, since it uses less digits than its factorization.

228885436264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 63.

The spelling of 228885436264320 in words is "two hundred twenty-eight trillion, eight hundred eighty-five billion, four hundred thirty-six million, two hundred sixty-four thousand, three hundred twenty".