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2238092640 = 253357297109
BaseRepresentation
bin1000010101100110…
…1001010101100000
312202222100212221000
42011121221111200
514040422431030
61010030032000
7106314321300
oct20531512540
95688325830
102238092640
11a49388143
12525648600
132988aac94
14173355600
15d1743860
hex85669560

2238092640 has 576 divisors, whose sum is σ = 9290635200. Its totient is φ = 501645312.

The previous prime is 2238092617. The next prime is 2238092641. The reversal of 2238092640 is 462908322.

2238092640 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 0 + 9 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2238092595 and 2238092604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238092641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20532906 + ... + 20533014.

It is an arithmetic number, because the mean of its divisors is an integer number (16129575).

Almost surely, 22238092640 is an apocalyptic number.

2238092640 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 2238092640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645317600).

2238092640 is an abundant number, since it is smaller than the sum of its proper divisors (7052542560).

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

2238092640 is a wasteful number, since it uses less digits than its factorization.

2238092640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2238092640 is about 47308.4838057615. The cubic root of 2238092640 is about 1308.0550435552.

The spelling of 2238092640 in words is "two billion, two hundred thirty-eight million, ninety-two thousand, six hundred forty".