Search a number
-
+
22108333104 = 24341113119293
BaseRepresentation
bin10100100101110000…
…100110010000110000
32010001202201200120000
4110211300212100300
5330234213124404
614053442150000
71411602505434
oct244560462060
963052650500
1022108333104
119415639980
124350052300
132114422710
1410da3009c4
15895dcc339
hex525c26430

22108333104 has 200 divisors, whose sum is σ = 75175261392. Its totient is φ = 6184097280.

The previous prime is 22108333103. The next prime is 22108333141. The reversal of 22108333104 is 40133380122.

22108333104 is a `hidden beast` number, since 221 + 0 + 8 + 333 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22108333103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125682 + ... + 244974.

Almost surely, 222108333104 is an apocalyptic number.

22108333104 is a gapful number since it is divisible by the number (24) 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 22108333104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37587630696).

22108333104 is an abundant number, since it is smaller than the sum of its proper divisors (53066928288).

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

22108333104 is a wasteful number, since it uses less digits than its factorization.

22108333104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119337 (or 119322 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 22108333104 in words is "twenty-two billion, one hundred eight million, three hundred thirty-three thousand, one hundred four".