Search a number
-
+
2233113300320 = 2557107117115913
BaseRepresentation
bin100000011111101111111…
…011001100110101100000
321220111001111122110222212
4200133233323030311200
5243041404001102240
64425513400021252
7320223425602160
oct40375773146540
97814044573885
102233113300320
11791070271691
12300961161828
13132773c4c476
147a1246765a0
153d14d550165
hex207efeccd60

2233113300320 has 192 divisors, whose sum is σ = 6091335323136. Its totient is φ = 757787996160.

The previous prime is 2233113300293. The next prime is 2233113300347. The reversal of 2233113300320 is 230033113322.

It is an interprime number because it is at equal distance from previous prime (2233113300293) and next prime (2233113300347).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140324684 + ... + 140340596.

It is an arithmetic number, because the mean of its divisors is an integer number (31725704808).

Almost surely, 22233113300320 is an apocalyptic number.

2233113300320 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 2233113300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045667661568).

2233113300320 is an abundant number, since it is smaller than the sum of its proper divisors (3858222022816).

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

2233113300320 is a wasteful number, since it uses less digits than its factorization.

2233113300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17213 (or 17205 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 2233113300320 its reverse (230033113322), we get a palindrome (2463146413642).

The spelling of 2233113300320 in words is "two trillion, two hundred thirty-three billion, one hundred thirteen million, three hundred thousand, three hundred twenty".