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22133340 = 22325122963
BaseRepresentation
bin101010001101…
…1101001011100
31112122111020100
41110123221130
521131231330
62110221100
7356062455
oct124335134
945574210
1022133340
1111548119
1274b4790
13477c468
142d2212c
151e23060
hex151ba5c

22133340 has 36 divisors (see below), whose sum is σ = 67138344. Its totient is φ = 5902176.

The previous prime is 22133329. The next prime is 22133341. The reversal of 22133340 is 4333122.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133341) 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 11 ways as a sum of consecutive naturals, for example, 61302 + ... + 61661.

It is an arithmetic number, because the mean of its divisors is an integer number (1864954).

Almost surely, 222133340 is an apocalyptic number.

22133340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133340 is an abundant number, since it is smaller than the sum of its proper divisors (45005004).

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

22133340 is a wasteful number, since it uses less digits than its factorization.

22133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122978 (or 122973 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 22133340 is about 4704.6083790258. The cubic root of 22133340 is about 280.7688900689.

Adding to 22133340 its reverse (4333122), we get a palindrome (26466462).

The spelling of 22133340 in words is "twenty-two million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 122963 245926 368889 491852 614815 737778 1106667 1229630 1475556 1844445 2213334 2459260 3688890 4426668 5533335 7377780 11066670 22133340