Search a number
-
+
2189349300 = 22352234347157
BaseRepresentation
bin1000001001111110…
…1101000110110100
312122120122110122010
42002133231012310
513440433134200
61001125204220
7105153106365
oct20237550664
95576573563
102189349300
11a23915596
12511260670
1328b772878
1416aaa7b6c
15cc316150
hex827ed1b4

2189349300 has 288 divisors, whose sum is σ = 6951555072. Its totient is φ = 530449920.

The previous prime is 2189349269. The next prime is 2189349307. The reversal of 2189349300 is 39439812.

2189349300 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189349307) 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, 13944822 + ... + 13944978.

It is an arithmetic number, because the mean of its divisors is an integer number (24137344).

Almost surely, 22189349300 is an apocalyptic number.

2189349300 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 2189349300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475777536).

2189349300 is an abundant number, since it is smaller than the sum of its proper divisors (4762205772).

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

2189349300 is a wasteful number, since it uses less digits than its factorization.

2189349300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2189349300 is about 46790.4830066970. The cubic root of 2189349300 is about 1298.4892311638.

The spelling of 2189349300 in words is "two billion, one hundred eighty-nine million, three hundred forty-nine thousand, three hundred".