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2189743920 = 24325713191759
BaseRepresentation
bin1000001010000100…
…1101011100110000
312122121101111221200
42002201031130300
513441033301140
61001141451200
7105156342030
oct20241153460
95577344850
102189743920
11a24065021
12511410b00
1328b880380
1416ab6b8c0
15cc393030
hex8284d730

2189743920 has 480 divisors, whose sum is σ = 9532723200. Its totient is φ = 437446656.

The previous prime is 2189743903. The next prime is 2189743921. The reversal of 2189743920 is 293479812.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2189743921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244001 + ... + 1245759.

It is an arithmetic number, because the mean of its divisors is an integer number (19859840).

Almost surely, 22189743920 is an apocalyptic number.

2189743920 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 2189743920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766361600).

2189743920 is an abundant number, since it is smaller than the sum of its proper divisors (7342979280).

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

2189743920 is a wasteful number, since it uses less digits than its factorization.

2189743920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2189743920 is about 46794.6996998592. The cubic root of 2189743920 is about 1298.5672420195.

The spelling of 2189743920 in words is "two billion, one hundred eighty-nine million, seven hundred forty-three thousand, nine hundred twenty".