Search a number
-
+
332222220000 = 25325411198831
BaseRepresentation
bin1001101010110011111…
…11001100011011100000
31011202112010201101212200
410311121333030123200
520420342342020000
6412342031053200
733000530163606
oct4653177143340
91152463641780
10332222220000
11118992867090
1254478671200
1325436705088
141211876d876
158996443500
hex4d59fcc6e0

332222220000 has 720 divisors, whose sum is σ = 1355829995520. Its totient is φ = 76291200000.

The previous prime is 332222219983. The next prime is 332222220007. The reversal of 332222220000 is 22222233.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3322222200002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332222220007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37615585 + ... + 37624415.

It is an arithmetic number, because the mean of its divisors is an integer number (1883097216).

Almost surely, 2332222220000 is an apocalyptic number.

332222220000 is a gapful number since it is divisible by the number (30) 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 332222220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677914997760).

332222220000 is an abundant number, since it is smaller than the sum of its proper divisors (1023607775520).

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

332222220000 is a wasteful number, since it uses less digits than its factorization.

332222220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8897 (or 8871 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 332222220000 its reverse (22222233), we get a palindrome (332244442233).

The spelling of 332222220000 in words is "three hundred thirty-two billion, two hundred twenty-two million, two hundred twenty thousand".