Search a number
-
+
22022021111112 = 233211217239296959
BaseRepresentation
bin1010000000111011001101…
…01111101101110101001000
32212222021200111220201002200
411000131212233231311020
510341302044401023422
6114500435444000200
74432016132623041
oct500354657556510
985867614821080
1022022021111112
117020539893600
122578022390060
13c3988ab7c169
14561c2b5c58c8
15282c9b2622ac
hex140766bedd48

22022021111112 has 576 divisors, whose sum is σ = 72520733376000. Its totient is φ = 6000383262720.

The previous prime is 22022021111099. The next prime is 22022021111117. The reversal of 22022021111112 is 21111112022022.

22022021111112 is a `hidden beast` number, since 220 + 220 + 2 + 1 + 111 + 112 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22022021111117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3164534689 + ... + 3164541647.

It is an arithmetic number, because the mean of its divisors is an integer number (125904051000).

Almost surely, 222022021111112 is an apocalyptic number.

22022021111112 is a gapful number since it is divisible by the number (22) 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 22022021111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36260366688000).

22022021111112 is an abundant number, since it is smaller than the sum of its proper divisors (50498712264888).

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

22022021111112 is a wasteful number, since it uses less digits than its factorization.

22022021111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22022021111112 its reverse (21111112022022), we get a palindrome (43133133133134).

The spelling of 22022021111112 in words is "twenty-two trillion, twenty-two billion, twenty-one million, one hundred eleven thousand, one hundred twelve".