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22133120 = 27534583
BaseRepresentation
bin101010001101…
…1100110000000
31112122110221012
41110123212000
521131224440
62110220052
7356062022
oct124334600
945573835
1022133120
1111547a39
1274b4628
13477c329
142d22012
151e22e65
hex151b980

22133120 has 32 divisors (see below), whose sum is σ = 52913520. Its totient is φ = 8852992.

The previous prime is 22133113. The next prime is 22133129. The reversal of 22133120 is 2133122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 22133095 and 22133104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16652 + ... + 17931.

Almost surely, 222133120 is an apocalyptic number.

22133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133120 is an abundant number, since it is smaller than the sum of its proper divisors (30780400).

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

22133120 is an equidigital number, since it uses as much as digits as its factorization.

22133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34602 (or 34590 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 22133120 is about 4704.5849976379. The cubic root of 22133120 is about 280.7679598077.

Adding to 22133120 its reverse (2133122), we get a palindrome (24266242).

The spelling of 22133120 in words is "twenty-two million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 34583 69166 138332 172915 276664 345830 553328 691660 1106656 1383320 2213312 2766640 4426624 5533280 11066560 22133120