Search a number
-
+
220202200000 = 26556716433
BaseRepresentation
bin1100110100010100010…
…0101110101111000000
3210001101021021210000001
43031011010232233000
512101433230400000
6245054241205344
721623546550166
oct3150504565700
9701337253001
10220202200000
1185429446062
1236815330854
13179c3871583
14a92d19d236
155adbd3146a
hex334512ebc0

220202200000 has 168 divisors, whose sum is σ = 554355237744. Its totient is φ = 86760960000.

The previous prime is 220202199953. The next prime is 220202200021. The reversal of 220202200000 is 2202022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 220202200000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13391784 + ... + 13408216.

It is an arithmetic number, because the mean of its divisors is an integer number (3299733558).

Almost surely, 2220202200000 is an apocalyptic number.

220202200000 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 220202200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277177618872).

220202200000 is an abundant number, since it is smaller than the sum of its proper divisors (334153037744).

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

220202200000 is an frugal number, since it uses more digits than its factorization.

220202200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16537 (or 16507 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 220202200000 its reverse (2202022), we get a palindrome (220204402022).

220202200000 divided by its reverse (2202022) gives a 5-th power (100000 = 105).

The spelling of 220202200000 in words is "two hundred twenty billion, two hundred two million, two hundred thousand".