Search a number
-
+
2269350000 = 243355412
BaseRepresentation
bin1000011101000011…
…1000100001110000
312212011011220222000
42013100320201300
514121423200000
61013104014000
7110144104521
oct20720704160
95764156860
102269350000
11a64a97275
12534001300
132a2203368
14177570848
15d436a000
hex87438870

2269350000 has 360 divisors, whose sum is σ = 8345247120. Its totient is φ = 590400000.

The previous prime is 2269349977. The next prime is 2269350011. The reversal of 2269350000 is 539622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55349980 + ... + 55350020.

It is an arithmetic number, because the mean of its divisors is an integer number (23181242).

Almost surely, 22269350000 is an apocalyptic number.

2269350000 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 2269350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172623560).

2269350000 is an abundant number, since it is smaller than the sum of its proper divisors (6075897120).

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

2269350000 is an frugal number, since it uses more digits than its factorization.

2269350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2269350000 is about 47637.6951583512. The cubic root of 2269350000 is about 1314.1163759232.

Adding to 2269350000 its reverse (539622), we get a palindrome (2269889622).

The spelling of 2269350000 in words is "two billion, two hundred sixty-nine million, three hundred fifty thousand".