Search a number
-
+
22131300 = 2235273771
BaseRepresentation
bin101010001101…
…1001001100100
31112122101102210
41110123021210
521131200200
62110203420
7356053512
oct124331144
945571383
1022131300
1111546634
1274b3570
13477b559
142d214b2
151e22650
hex151b264

22131300 has 36 divisors (see below), whose sum is σ = 64034096. Its totient is φ = 5901600.

The previous prime is 22131289. The next prime is 22131397. The reversal of 22131300 is 313122.

It is a happy number.

It is a super-3 number, since 3×221313003 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 11 ways as a sum of consecutive naturals, for example, 36586 + ... + 37185.

Almost surely, 222131300 is an apocalyptic number.

22131300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131300 is an abundant number, since it is smaller than the sum of its proper divisors (41902796).

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

22131300 is a wasteful number, since it uses less digits than its factorization.

22131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73788 (or 73781 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 22131300 is about 4704.3915653355. The cubic root of 22131300 is about 280.7602637743.

Adding to 22131300 its reverse (313122), we get a palindrome (22444422).

The spelling of 22131300 in words is "twenty-two million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 73771 147542 221313 295084 368855 442626 737710 885252 1106565 1475420 1844275 2213130 3688550 4426260 5532825 7377100 11065650 22131300