Search a number
-
+
233103223020 = 2235231992932897
BaseRepresentation
bin1101100100011000001…
…0001110100011101100
3211021200100211122120110
43121012002032203230
512304343411114040
6255030335020020
722561341463203
oct3310602164354
9737610748513
10233103223020
118a949768658
123921596a610
1318c9b59a2c5
14b3d472223a
1560e4731980
hex364608e8ec

233103223020 has 192 divisors, whose sum is σ = 687062476800. Its totient is φ = 58937167872.

The previous prime is 233103223019. The next prime is 233103223057. The reversal of 233103223020 is 20322301332.

It is a super-2 number, since 2×2331032230202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80462212 + ... + 80465108.

It is an arithmetic number, because the mean of its divisors is an integer number (3578450400).

Almost surely, 2233103223020 is an apocalyptic number.

233103223020 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 233103223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343531238400).

233103223020 is an abundant number, since it is smaller than the sum of its proper divisors (453959253780).

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

233103223020 is a wasteful number, since it uses less digits than its factorization.

233103223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 233103223020 its reverse (20322301332), we get a palindrome (253425524352).

The spelling of 233103223020 in words is "two hundred thirty-three billion, one hundred three million, two hundred twenty-three thousand, twenty".