Search a number
-
+
22210222210000 = 2454111811115531
BaseRepresentation
bin1010000110011001110000…
…11001111011101111010000
32220122021110120111010001121
411003030320121323233100
510402343013341210000
6115123122450412024
74451431003565326
oct503147031735720
986567416433047
1022210222210000
117093336466760
1225a85a6591014
13c515518b7036
1456ada2675d16
15287b1393ab1a
hex14333867bbd0

22210222210000 has 200 divisors, whose sum is σ = 58985789230368. Its totient is φ = 8031816000000.

The previous prime is 22210222209997. The next prime is 22210222210019. The reversal of 22210222210000 is 1222201222.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 19352235 + ... + 20467765.

Almost surely, 222210222210000 is an apocalyptic number.

22210222210000 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 22210222210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29492894615184).

22210222210000 is an abundant number, since it is smaller than the sum of its proper divisors (36775567020368).

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

22210222210000 is a wasteful number, since it uses less digits than its factorization.

22210222210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115751 (or 1115730 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22210222210000 its reverse (1222201222), we get a palindrome (22211444411222).

The spelling of 22210222210000 in words is "twenty-two trillion, two hundred ten billion, two hundred twenty-two million, two hundred ten thousand".