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2189400000 = 263554189
BaseRepresentation
bin1000001001111111…
…1001011111000000
312122120202001011220
42002133321133000
513440441300000
61001130235040
7105153410244
oct20237713700
95576661156
102189400000
11a2394a697
12511285a80
1328b78c978
1416aabc424
15cc3261a0
hex827f97c0

2189400000 has 336 divisors, whose sum is σ = 7500457440. Its totient is φ = 563200000.

The previous prime is 2189399941. The next prime is 2189400007. The reversal of 2189400000 is 49812.

2189400000 is digitally balanced in base 2, because in such base 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189400007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24599956 + ... + 24600044.

It is an arithmetic number, because the mean of its divisors is an integer number (22322790).

Almost surely, 22189400000 is an apocalyptic number.

2189400000 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 2189400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750228720).

2189400000 is an abundant number, since it is smaller than the sum of its proper divisors (5311057440).

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

2189400000 is an frugal number, since it uses more digits than its factorization.

2189400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2189400000 is about 46791.0247803999. The cubic root of 2189400000 is about 1298.4992543696.

Adding to 2189400000 its reverse (49812), we get a palindrome (2189449812).

The spelling of 2189400000 in words is "two billion, one hundred eighty-nine million, four hundred thousand".