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2241324000 = 25335320753
BaseRepresentation
bin1000010110010111…
…1110001111100000
312210012110001112000
42011211332033200
514042234332000
61010223204000
7106353640206
oct20545761740
95705401460
102241324000
11a50194993
12526746600
1329946ca26
14173957076
15d1b81000
hex8597e3e0

2241324000 has 192 divisors, whose sum is σ = 8158812480. Its totient is φ = 597657600.

The previous prime is 2241323969. The next prime is 2241324017. The reversal of 2241324000 is 4231422.

2241324000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97624 + ... + 118376.

It is an arithmetic number, because the mean of its divisors is an integer number (42493815).

Almost surely, 22241324000 is an apocalyptic number.

2241324000 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 2241324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079406240).

2241324000 is an abundant number, since it is smaller than the sum of its proper divisors (5917488480).

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

2241324000 is a wasteful number, since it uses less digits than its factorization.

2241324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20787 (or 20763 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2241324000 is about 47342.6235014495. The cubic root of 2241324000 is about 1308.6842644794.

Adding to 2241324000 its reverse (4231422), we get a palindrome (2245555422).

The spelling of 2241324000 in words is "two billion, two hundred forty-one million, three hundred twenty-four thousand".