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22661472 = 2531132089
BaseRepresentation
bin101011001110…
…0100101100000
31120122022200210
41112130211200
521300131342
62125414120
7363422301
oct126344540
946568623
1022661472
1111878999
12770a340
134905972
14301c7a8
151ec979c
hex159c960

22661472 has 48 divisors (see below), whose sum is σ = 60041520. Its totient is φ = 7483392.

The previous prime is 22661461. The next prime is 22661491. The reversal of 22661472 is 27416622.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9804 + ... + 11892.

It is an arithmetic number, because the mean of its divisors is an integer number (1250865).

Almost surely, 222661472 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 22661472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30020760).

22661472 is an abundant number, since it is smaller than the sum of its proper divisors (37380048).

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

22661472 is a wasteful number, since it uses less digits than its factorization.

22661472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2207 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 22661472 is about 4760.4067053142. The cubic root of 22661472 is about 282.9845371899.

The spelling of 22661472 in words is "twenty-two million, six hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2089 2712 3616 4178 5424 6267 8356 10848 12534 16712 25068 33424 50136 66848 100272 200544 236057 472114 708171 944228 1416342 1888456 2832684 3776912 5665368 7553824 11330736 22661472