Search a number
-
+
224500135321440 = 2533511269169910337
BaseRepresentation
bin110011000010111010000010…
…110100010101111101100000
31002102220000002102122000112000
4303002322002310111331200
5213411202234120241230
62113245534405204000
765200412431415316
oct6302720264257540
91072800072560460
10224500135321440
1165594a77756450
1221219769100600
13983636c548a64
143d61c1638c0b6
151ae4b6c843b60
hexcc2e82d15f60

224500135321440 has 768 divisors, whose sum is σ = 860958564480000. Its totient is φ = 54184798126080.

The previous prime is 224500135321417. The next prime is 224500135321453. The reversal of 224500135321440 is 44123531005422.

It is a happy number.

224500135321440 is a `hidden beast` number, since 2 + 2 + 4 + 50 + 0 + 1 + 353 + 214 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224500135321395 and 224500135321404.

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, 21718107952 + ... + 21718118288.

It is an arithmetic number, because the mean of its divisors is an integer number (1121039797500).

Almost surely, 2224500135321440 is an apocalyptic number.

224500135321440 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 224500135321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430479282240000).

224500135321440 is an abundant number, since it is smaller than the sum of its proper divisors (636458429158560).

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

224500135321440 is a wasteful number, since it uses less digits than its factorization.

224500135321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12340 (or 12326 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 224500135321440 its reverse (44123531005422), we get a palindrome (268623666326862).

The spelling of 224500135321440 in words is "two hundred twenty-four trillion, five hundred billion, one hundred thirty-five million, three hundred twenty-one thousand, four hundred forty".