Search a number
-
+
20220212202112 = 271321947222271
BaseRepresentation
bin1001001100011111000101…
…00100001100101010000000
32122121000220100120102222101
410212033202210030222000
510122241443310431422
6111001012013520144
74154601464610556
oct446174244145200
978530810512871
1020220212202112
1164963867148aa
1223269901a3054
13b389b0c47b00
144dc9408a1bd6
15250e929e0c27
hex1263e290ca80

20220212202112 has 288 divisors, whose sum is σ = 46915034803200. Its totient is φ = 8652726650880.

The previous prime is 20220212202061. The next prime is 20220212202121. The reversal of 20220212202112 is 21120221202202.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 20220212202112.

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 35 ways as a sum of consecutive naturals, for example, 907905537 + ... + 907927807.

It is an arithmetic number, because the mean of its divisors is an integer number (162899426400).

Almost surely, 220220212202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220212202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23457517401600).

20220212202112 is an abundant number, since it is smaller than the sum of its proper divisors (26694822601088).

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

20220212202112 is a wasteful number, since it uses less digits than its factorization.

20220212202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22424 (or 22352 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 20220212202112 its reverse (21120221202202), we get a palindrome (41340433404314).

The spelling of 20220212202112 in words is "twenty trillion, two hundred twenty billion, two hundred twelve million, two hundred two thousand, one hundred twelve".