Search a number
-
+
22320233100000 = 25335511751523
BaseRepresentation
bin1010001001100110101011…
…00100001011001011100000
32221000210102102101100201000
411010303111210023023200
510411143314133200000
6115245435025512000
74462404116663133
oct504632544131340
987023372340630
1022320233100000
117125a59774670
122605988aa2600
13c5ba34427914
1457243b09221a
1528a901985000
hex144cd590b2e0

22320233100000 has 576 divisors, whose sum is σ = 88768090978560. Its totient is φ = 5410958400000.

The previous prime is 22320233099963. The next prime is 22320233100001. The reversal of 22320233100000 is 133202322.

It is a happy number.

It is a super-3 number, since 3×223202331000003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (22320233100001) 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 95 ways as a sum of consecutive naturals, for example, 29324239 + ... + 30075761.

It is an arithmetic number, because the mean of its divisors is an integer number (154111269060).

Almost surely, 222320233100000 is an apocalyptic number.

22320233100000 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 22320233100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44384045489280).

22320233100000 is an abundant number, since it is smaller than the sum of its proper divisors (66447857878560).

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

22320233100000 is an equidigital number, since it uses as much as digits as its factorization.

22320233100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751578 (or 751544 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22320233100000 its reverse (133202322), we get a palindrome (22320366302322).

The spelling of 22320233100000 in words is "twenty-two trillion, three hundred twenty billion, two hundred thirty-three million, one hundred thousand".