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2241040320 = 263254118979
BaseRepresentation
bin1000010110010011…
…1000111111000000
312210011220122101100
42011210320333000
514042201242240
61010213134400
7106351346151
oct20544707700
95704818340
102241040320
11a50010842
1252662a400
132993a087c
141738c1928
15d1b26e30
hex85938fc0

2241040320 has 168 divisors, whose sum is σ = 7896666960. Its totient is φ = 583004160.

The previous prime is 2241040297. The next prime is 2241040343. The reversal of 2241040320 is 230401422.

2241040320 is a `hidden beast` number, since 2 + 241 + 0 + 403 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2241040297) and next prime (2241040343).

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

It is a junction number, because it is equal to n+sod(n) for n = 2241040293 and 2241040302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108591 + ... + 127569.

It is an arithmetic number, because the mean of its divisors is an integer number (47003970).

Almost surely, 22241040320 is an apocalyptic number.

2241040320 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 2241040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948333480).

2241040320 is an abundant number, since it is smaller than the sum of its proper divisors (5655626640).

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

2241040320 is a wasteful number, since it uses less digits than its factorization.

2241040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19043 (or 19030 counting only the distinct ones).

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

The square root of 2241040320 is about 47339.6273749593. The cubic root of 2241040320 is about 1308.6290496129.

Adding to 2241040320 its reverse (230401422), we get a palindrome (2471441742).

The spelling of 2241040320 in words is "two billion, two hundred forty-one million, forty thousand, three hundred twenty".