Search a number
-
+
20110202222220 = 223251171166985711
BaseRepresentation
bin1001001001010010001010…
…11101011011011010001100
32122012111221120101102202200
410210221011131123122030
510113441143232102340
6110434255510121500
74143625362323325
oct444510535333214
978174846342680
1020110202222220
116453763978750
1223095aa050290
13b2b4cb665556
144d74a624144c
1524d1a4ac6330
hex124a4575b68c

20110202222220 has 288 divisors, whose sum is σ = 67524983285760. Its totient is φ = 4803599808000.

The previous prime is 20110202222203. The next prime is 20110202222321. The reversal of 20110202222220 is 2222220201102.

20110202222220 is a `hidden beast` number, since 20 + 1 + 1 + 0 + 202 + 222 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20110202222193 and 20110202222202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234585165 + ... + 234670875.

It is an arithmetic number, because the mean of its divisors is an integer number (234461747520).

Almost surely, 220110202222220 is an apocalyptic number.

20110202222220 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 20110202222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33762491642880).

20110202222220 is an abundant number, since it is smaller than the sum of its proper divisors (47414781063540).

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

20110202222220 is a wasteful number, since it uses less digits than its factorization.

20110202222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87477 (or 87472 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20110202222220 its reverse (2222220201102), we get a palindrome (22332422423322).

The spelling of 20110202222220 in words is "twenty trillion, one hundred ten billion, two hundred two million, two hundred twenty-two thousand, two hundred twenty".