Search a number
-
+
2234401024240 = 2457111816593041
BaseRepresentation
bin100000100000111100101…
…011011110100011110000
321220121101020201122010101
4200200330223132203300
5243102023130233430
64430245240242144
7320300353223260
oct40407453364360
97817336648111
102234401024240
11791671144730
12301060470354
1313291a979898
147a2076bd7a0
153d1c6617dca
hex2083cade8f0

2234401024240 has 320 divisors, whose sum is σ = 6524672394240. Its totient is φ = 691310592000.

The previous prime is 2234401024213. The next prime is 2234401024243. The reversal of 2234401024240 is 424201044322.

It is a super-2 number, since 2×22344010242402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2234401024199 and 2234401024208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234401024243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 734757120 + ... + 734760160.

It is an arithmetic number, because the mean of its divisors is an integer number (20389601232).

Almost surely, 22234401024240 is an apocalyptic number.

2234401024240 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 2234401024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262336197120).

2234401024240 is an abundant number, since it is smaller than the sum of its proper divisors (4290271370000).

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

2234401024240 is a wasteful number, since it uses less digits than its factorization.

2234401024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2234401024240 its reverse (424201044322), we get a palindrome (2658602068562).

The spelling of 2234401024240 in words is "two trillion, two hundred thirty-four billion, four hundred one million, twenty-four thousand, two hundred forty".