Search a number
-
+
2222133000 = 23353740711
BaseRepresentation
bin1000010001110011…
…0000111100001000
312201212100001102020
42010130300330020
514022331224000
61004300004440
7106031550603
oct20434607410
95655301366
102222133000
11a4037745a
12520230720
132954b08c9
1417119d33a
15d013eba0
hex84730f08

2222133000 has 64 divisors (see below), whose sum is σ = 6933064320. Its totient is φ = 592568000.

The previous prime is 2222132999. The next prime is 2222133007. The reversal of 2222133000 is 3312222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2222133007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367356 + ... + 373355.

It is an arithmetic number, because the mean of its divisors is an integer number (108329130).

Almost surely, 22222133000 is an apocalyptic number.

2222133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222133000 is an abundant number, since it is smaller than the sum of its proper divisors (4710931320).

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

2222133000 is a wasteful number, since it uses less digits than its factorization.

2222133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740735 (or 740721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2222133000 is about 47139.5057250286. The cubic root of 2222133000 is about 1304.9384154963.

Adding to 2222133000 its reverse (3312222), we get a palindrome (2225445222).

The spelling of 2222133000 in words is "two billion, two hundred twenty-two million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 740711 1481422 2222133 2962844 3703555 4444266 5925688 7407110 8888532 11110665 14814220 17777064 18517775 22221330 29628440 37035550 44442660 55553325 74071100 88885320 92588875 111106650 148142200 185177750 222213300 277766625 370355500 444426600 555533250 740711000 1111066500 2222133000