Search a number
-
+
96228000 = 25375311
BaseRepresentation
bin1011011110001…
…01001010100000
320201001220000000
411233011022200
5144113244000
613314300000
72245632051
oct557051240
9221056000
1096228000
114a355580
1228287600
1316c2295b
14cacc728
1586ac000
hex5bc52a0

96228000 has 384 divisors, whose sum is σ = 386830080. Its totient is φ = 23328000.

The previous prime is 96227993. The next prime is 96228001. The reversal of 96228000 is 82269.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96228001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8747995 + ... + 8748005.

It is an arithmetic number, because the mean of its divisors is an integer number (1007370).

Almost surely, 296228000 is an apocalyptic number.

96228000 is a gapful number since it is divisible by the number (90) 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 96228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193415040).

96228000 is an abundant number, since it is smaller than the sum of its proper divisors (290602080).

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

96228000 is an equidigital number, since it uses as much as digits as its factorization.

96228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 21 counting only the distinct ones).

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

The square root of 96228000 is about 9809.5871472759. The cubic root of 96228000 is about 458.2479032694.

The spelling of 96228000 in words is "ninety-six million, two hundred twenty-eight thousand".