Search a number
-
+
3222133212330 = 232535801480137
BaseRepresentation
bin101110111000110110000…
…110110000010010101010
3102102000220000002122101100
4232320312012300102222
5410242412100243310
610504121053102230
7451535315256654
oct56706606602252
912360800078340
103222133212330
11103255421999a
12440579a87976
131a4acc472a06
14b1d487136d4
1558c35d5bec0
hex2ee361b04aa

3222133212330 has 24 divisors (see below), whose sum is σ = 8377546352292. Its totient is φ = 859235523264.

The previous prime is 3222133212329. The next prime is 3222133212341. The reversal of 3222133212330 is 332123312223.

3222133212330 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 1 + 3 + 321 + 2 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3211152896961 + 10980315369 = 1791969^2 + 104787^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3222133212294 and 3222133212303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17900739979 + ... + 17900740158.

Almost surely, 23222133212330 is an apocalyptic number.

3222133212330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3222133212330 is an abundant number, since it is smaller than the sum of its proper divisors (5155413139962).

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

3222133212330 is a wasteful number, since it uses less digits than its factorization.

3222133212330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35801480150 (or 35801480147 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3222133212330 its reverse (332123312223), we get a palindrome (3554256524553).

The spelling of 3222133212330 in words is "three trillion, two hundred twenty-two billion, one hundred thirty-three million, two hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 35801480137 71602960274 107404440411 179007400685 214808880822 322213321233 358014801370 537022202055 644426642466 1074044404110 1611066606165 3222133212330