Search a number
-
+
22505311000 = 235347294759
BaseRepresentation
bin10100111101011010…
…111100101100011000
32011002102201020212001
4110331122330230120
5332042324423000
614201102530344
71424462662414
oct247532745430
964072636761
1022505311000
1195a9730287
124440b969b4
132178746593
141136d19d44
158bab9546a
hex53d6bcb18

22505311000 has 64 divisors (see below), whose sum is σ = 52684632000. Its totient is φ = 8998329600.

The previous prime is 22505310983. The next prime is 22505311001. The reversal of 22505311000 is 11350522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22505311001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4726621 + ... + 4731379.

It is an arithmetic number, because the mean of its divisors is an integer number (823197375).

Almost surely, 222505311000 is an apocalyptic number.

22505311000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22505311000 is an abundant number, since it is smaller than the sum of its proper divisors (30179321000).

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

22505311000 is a wasteful number, since it uses less digits than its factorization.

22505311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509 (or 9495 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 22505311000 its reverse (11350522), we get a palindrome (22516661522).

The spelling of 22505311000 in words is "twenty-two billion, five hundred five million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 4729 4759 9458 9518 18916 19036 23645 23795 37832 38072 47290 47590 94580 95180 118225 118975 189160 190360 236450 237950 472900 475900 591125 594875 945800 951800 1182250 1189750 2364500 2379500 4729000 4759000 22505311 45010622 90021244 112526555 180042488 225053110 450106220 562632775 900212440 1125265550 2250531100 2813163875 4501062200 5626327750 11252655500 22505311000