Search a number
-
+
23211032220000 = 253354293146701
BaseRepresentation
bin1010100011100001111010…
…10101001001000101100000
310001011221201202002022101000
411101300331111021011200
511020242143222020000
6121211000114312000
74613641005401502
oct521607525110540
9101157652068330
1023211032220000
11743981a63a0a9
12272a553888600
13cc4a3892ba21
145a35c44d1d72
152a3b8b355000
hex151c3d549160

23211032220000 has 480 divisors, whose sum is σ = 84885779230560. Its totient is φ = 6168441600000.

The previous prime is 23211032219989. The next prime is 23211032220001. The reversal of 23211032220000 is 2223011232.

23211032220000 is a `hidden beast` number, since 2 + 32 + 110 + 322 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23211032220001) 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 79 ways as a sum of consecutive naturals, for example, 158146650 + ... + 158293350.

It is an arithmetic number, because the mean of its divisors is an integer number (176845373397).

Almost surely, 223211032220000 is an apocalyptic number.

23211032220000 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 23211032220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42442889615280).

23211032220000 is an abundant number, since it is smaller than the sum of its proper divisors (61674747010560).

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

23211032220000 is a wasteful number, since it uses less digits than its factorization.

23211032220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147033 (or 147004 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23211032220000 its reverse (2223011232), we get a palindrome (23213255231232).

The spelling of 23211032220000 in words is "twenty-three trillion, two hundred eleven billion, thirty-two million, two hundred twenty thousand".