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22134672 = 2432723137
BaseRepresentation
bin101010001101…
…1111110010000
31112122120001200
41110123332100
521131302142
62110231200
7356066400
oct124337620
945576050
1022134672
111154911a
1274b5500
13477cc51
142d22800
151e2364c
hex151bf90

22134672 has 90 divisors (see below), whose sum is σ = 72082998. Its totient is φ = 6322176.

The previous prime is 22134667. The next prime is 22134683. The reversal of 22134672 is 27643122.

It can be written as a sum of positive squares in only one way, i.e., 22127616 + 7056 = 4704^2 + 84^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 5488 + ... + 8624.

Almost surely, 222134672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22134672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36041499).

22134672 is an abundant number, since it is smaller than the sum of its proper divisors (49948326).

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

22134672 is a wasteful number, since it uses less digits than its factorization.

22134672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3149 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 22134672 is about 4704.7499402200. The cubic root of 22134672 is about 280.7745222458.

Adding to 22134672 its reverse (27643122), we get a palindrome (49777794).

The spelling of 22134672 in words is "twenty-two million, one hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3137 3528 6274 7056 9411 12548 18822 21959 25096 28233 37644 43918 50192 56466 65877 75288 87836 112932 131754 150576 153713 175672 197631 225864 263508 307426 351344 395262 451728 461139 527016 614852 790524 922278 1054032 1229704 1383417 1581048 1844556 2459408 2766834 3162096 3689112 5533668 7378224 11067336 22134672