[go: up one dir, main page]

Search a number
-
+
2232345500 = 2253711232521
BaseRepresentation
bin1000010100001110…
…1110001110011100
312202120112220022222
42011003232032130
514032440024000
61005302524512
7106214423630
oct20503561634
95676486288
102232345500
11a46112240
12523736738
132976480c8
1417269adc0
15d0eaaa85
hex850ee39c

2232345500 has 192 divisors, whose sum is σ = 6345271296. Its totient is φ = 665280000.

The previous prime is 2232345469. The next prime is 2232345547. The reversal of 2232345500 is 55432322.

It is a super-3 number, since 3×22323455003 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2232345500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 884240 + ... + 886760.

It is an arithmetic number, because the mean of its divisors is an integer number (33048288).

Almost surely, 22232345500 is an apocalyptic number.

2232345500 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 2232345500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172635648).

2232345500 is an abundant number, since it is smaller than the sum of its proper divisors (4112925796).

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

2232345500 is a wasteful number, since it uses less digits than its factorization.

2232345500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 2232345500 is about 47247.7036479023. The cubic root of 2232345500 is about 1306.9344436221.

Adding to 2232345500 its reverse (55432322), we get a palindrome (2287777822).

The spelling of 2232345500 in words is "two billion, two hundred thirty-two million, three hundred forty-five thousand, five hundred".