Search a number
-
+
22068695040 = 21235723297
BaseRepresentation
bin10100100011011001…
…011001000000000000
32002222000010212100120
4110203121121000000
5330144041220130
614045504420240
71410611545530
oct244331310000
962860125316
1022068695040
1193a5226247
12433a917680
132109154842
1410d4d434c0
1589269c910
hex523659000

22068695040 has 624 divisors, whose sum is σ = 85229386368. Its totient is φ = 4775215104.

The previous prime is 22068695039. The next prime is 22068695057. The reversal of 22068695040 is 4059686022.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 22068694983 and 22068695001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227512272 + ... + 227512368.

Almost surely, 222068695040 is an apocalyptic number.

22068695040 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 22068695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42614693184).

22068695040 is an abundant number, since it is smaller than the sum of its proper divisors (63160691328).

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

22068695040 is an equidigital number, since it uses as much as digits as its factorization.

22068695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 22068695040 in words is "twenty-two billion, sixty-eight million, six hundred ninety-five thousand, forty".