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BaseRepresentation
bin11011001100001…
…11100000000000
3120220012110220000
431212013200000
5431343033000
634344520000
75436532626
oct1546074000
9526173800
10228096000
111078329a0
1264480000
1338343762
1422417516
1515059000
hexd987800

228096000 has 480 divisors, whose sum is σ = 927566640. Its totient is φ = 55296000.

The previous prime is 228095983. The next prime is 228096013. The reversal of 228096000 is 690822.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20735995 + ... + 20736005.

Almost surely, 2228096000 is an apocalyptic number.

228096000 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 228096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463783320).

228096000 is an abundant number, since it is smaller than the sum of its proper divisors (699470640).

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

228096000 is an equidigital number, since it uses as much as digits as its factorization.

228096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 228096000 is about 15102.8474136502. The cubic root of 228096000 is about 610.9972043591.

The spelling of 228096000 in words is "two hundred twenty-eight million, ninety-six thousand".