Search a number
-
+
332431311220 = 22533749322153
BaseRepresentation
bin1001101011001100111…
…00110100000101110100
31011210001201011100002221
410311212130310011310
520421304403424340
6412414500412124
733005646344161
oct4654634640564
91153051140087
10332431311220
11118a8a899448
12545166a7044
132546ab233a8
141213843b068
1589a999644a
hex4d66734174

332431311220 has 24 divisors (see below), whose sum is σ = 700177298184. Its totient is φ = 132577944576.

The previous prime is 332431311167. The next prime is 332431311253. The reversal of 332431311220 is 22113134233.

It can be written as a sum of positive squares in 4 ways, for example, as 68064635664 + 264366675556 = 260892^2 + 514166^2 .

It is a super-3 number, since 3×3324313112203 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 24654337 + ... + 24667816.

It is an arithmetic number, because the mean of its divisors is an integer number (29174054091).

Almost surely, 2332431311220 is an apocalyptic number.

It is an amenable number.

332431311220 is an abundant number, since it is smaller than the sum of its proper divisors (367745986964).

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

332431311220 is a wasteful number, since it uses less digits than its factorization.

332431311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49322499 (or 49322497 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 332431311220 its reverse (22113134233), we get a palindrome (354544445453).

The spelling of 332431311220 in words is "three hundred thirty-two billion, four hundred thirty-one million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 337 674 1348 1685 3370 6740 49322153 98644306 197288612 246610765 493221530 986443060 16621565561 33243131122 66486262244 83107827805 166215655610 332431311220