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233033330440 = 23537157454953
BaseRepresentation
bin1101100100000111011…
…1100110111100001000
3211021111111022201222101
43121001313212330020
512304223013033230
6255015401003144
722556532424561
oct3310167467410
9737444281871
10233033330440
118a913270299
12391b64834b4
1318c89c68651
14b3c932b168
1560dd527aca
hex3641de6f08

233033330440 has 32 divisors (see below), whose sum is σ = 538495942680. Its totient is φ = 90694052352.

The previous prime is 233033330381. The next prime is 233033330441. The reversal of 233033330440 is 44033330332.

233033330440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 232665381316 + 367949124 = 482354^2 + 19182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233033330399 and 233033330408.

It is not an unprimeable number, because it can be changed into a prime (233033330441) 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 7 ways as a sum of consecutive naturals, for example, 78725997 + ... + 78728956.

Almost surely, 2233033330440 is an apocalyptic number.

233033330440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233033330440 is an abundant number, since it is smaller than the sum of its proper divisors (305462612240).

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

233033330440 is a wasteful number, since it uses less digits than its factorization.

233033330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157455001 (or 157454997 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 28.

Adding to 233033330440 its reverse (44033330332), we get a palindrome (277066660772).

The spelling of 233033330440 in words is "two hundred thirty-three billion, thirty-three million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 157454953 314909906 629819812 787274765 1259639624 1574549530 3149099060 5825833261 6298198120 11651666522 23303333044 29129166305 46606666088 58258332610 116516665220 233033330440