Search a number
-
+
22021220003112 = 233311171836729683
BaseRepresentation
bin1010000000111001101101…
…11111101110110100101000
32212222012121200111012112000
411000130312333232310220
510341243424310044422
6114500224145251000
74431660234413151
oct500346677566450
985865550435460
1022021220003112
117020168666280
122577a3a033a60
13c39790bcbb65
14561b9304c928
15282c50c6bcac
hex140736feed28

22021220003112 has 256 divisors, whose sum is σ = 70662548275200. Its totient is φ = 6280008330240.

The previous prime is 22021220003009. The next prime is 22021220003171. The reversal of 22021220003112 is 21130002212022.

22021220003112 is a `hidden beast` number, since 220 + 212 + 200 + 0 + 31 + 1 + 2 = 666.

It is a super-4 number, since 4×220212200031124 (a number of 54 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 741865023 + ... + 741894705.

It is an arithmetic number, because the mean of its divisors is an integer number (276025579200).

Almost surely, 222021220003112 is an apocalyptic number.

22021220003112 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 22021220003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35331274137600).

22021220003112 is an abundant number, since it is smaller than the sum of its proper divisors (48641328272088).

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

22021220003112 is a wasteful number, since it uses less digits than its factorization.

22021220003112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48093 (or 48083 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22021220003112 its reverse (21130002212022), we get a palindrome (43151222215134).

The spelling of 22021220003112 in words is "twenty-two trillion, twenty-one billion, two hundred twenty million, three thousand, one hundred twelve".