Search a number
-
+
22133700 = 22325224593
BaseRepresentation
bin101010001101…
…1101111000100
31112122111201200
41110123233010
521131234300
62110222500
7356063511
oct124335704
945574650
1022133700
1111548416
1274b4a30
13477c684
142d22308
151e23200
hex151bbc4

22133700 has 54 divisors (see below), whose sum is σ = 69379674. Its totient is φ = 5902080.

The previous prime is 22133669. The next prime is 22133707. The reversal of 22133700 is 733122.

It can be written as a sum of positive squares in 3 ways, for example, as 6084 + 22127616 = 78^2 + 4704^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22133707) 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 17 ways as a sum of consecutive naturals, for example, 11397 + ... + 13196.

Almost surely, 222133700 is an apocalyptic number.

22133700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133700 is an abundant number, since it is smaller than the sum of its proper divisors (47245974).

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

22133700 is a wasteful number, since it uses less digits than its factorization.

22133700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24613 (or 24603 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 22133700 is about 4704.6466392281. The cubic root of 22133700 is about 280.7704123012.

Adding to 22133700 its reverse (733122), we get a palindrome (22866822).

The spelling of 22133700 in words is "twenty-two million, one hundred thirty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 24593 49186 73779 98372 122965 147558 221337 245930 295116 368895 442674 491860 614825 737790 885348 1106685 1229650 1475580 1844475 2213370 2459300 3688950 4426740 5533425 7377900 11066850 22133700