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2234113110240 = 2535119711338603
BaseRepresentation
bin100000100000101011100…
…001001011000011100000
321220120122011222002100220
4200200223201023003200
5243100430424011430
64430200513243040
7320260256051664
oct40405341130340
97816564862326
102234113110240
11791533675680
12300b9bb63480
131328a3120c7b
147a1bb3748a4
153d1ab1e5110
hex2082b84b0e0

2234113110240 has 384 divisors, whose sum is σ = 7825214863872. Its totient is φ = 531262341120.

The previous prime is 2234113110217. The next prime is 2234113110253. The reversal of 2234113110240 is 420113114322.

It is a super-2 number, since 2×22341131102402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2234113110240.

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, 57854779 + ... + 57893381.

It is an arithmetic number, because the mean of its divisors is an integer number (20378163708).

Almost surely, 22234113110240 is an apocalyptic number.

2234113110240 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 2234113110240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912607431936).

2234113110240 is an abundant number, since it is smaller than the sum of its proper divisors (5591101753632).

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

2234113110240 is a wasteful number, since it uses less digits than its factorization.

2234113110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38842 (or 38834 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2234113110240 its reverse (420113114322), we get a palindrome (2654226224562).

The spelling of 2234113110240 in words is "two trillion, two hundred thirty-four billion, one hundred thirteen million, one hundred ten thousand, two hundred forty".