Search a number
-
+
2215504500 = 22353111937191
BaseRepresentation
bin1000010000001101…
…1110101001110100
312201101212021211020
42010003132221310
514014132121000
61003501541140
7105621322536
oct20403365164
95641767736
102215504500
11a3765a360
12519b747b0
13293ccc811
14170355856
15ce780ba0
hex840dea74

2215504500 has 384 divisors, whose sum is σ = 7648542720. Its totient is φ = 492480000.

The previous prime is 2215504493. The next prime is 2215504513. The reversal of 2215504500 is 54055122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11599405 + ... + 11599595.

It is an arithmetic number, because the mean of its divisors is an integer number (19918080).

Almost surely, 22215504500 is an apocalyptic number.

2215504500 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 2215504500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824271360).

2215504500 is an abundant number, since it is smaller than the sum of its proper divisors (5433038220).

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

2215504500 is a wasteful number, since it uses less digits than its factorization.

2215504500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2215504500 is about 47069.1459450881. The cubic root of 2215504500 is about 1303.6396034724.

Adding to 2215504500 its reverse (54055122), we get a palindrome (2269559622).

The spelling of 2215504500 in words is "two billion, two hundred fifteen million, five hundred four thousand, five hundred".