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22663044 = 2233223941
BaseRepresentation
bin101011001110…
…0111110000100
31120122101212000
41112130332010
521300204134
62125425300
7363430005
oct126347604
946571760
1022663044
111187a098
12770b230
1349065b1
14301d1ac
151ec9e99
hex159cf84

22663044 has 48 divisors (see below), whose sum is σ = 59082240. Its totient is φ = 7512480.

The previous prime is 22663033. The next prime is 22663051. The reversal of 22663044 is 44036622.

22663044 is a `hidden beast` number, since 2 + 26 + 630 + 4 + 4 = 666.

It is a super-2 number, since 2×226630442 = 1027227126691872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22662999 and 22663017.

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 15 ways as a sum of consecutive naturals, for example, 23614 + ... + 24554.

It is an arithmetic number, because the mean of its divisors is an integer number (1230880).

Almost surely, 222663044 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 22663044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29541120).

22663044 is an abundant number, since it is smaller than the sum of its proper divisors (36419196).

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

22663044 is a wasteful number, since it uses less digits than its factorization.

22663044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 22663044 is about 4760.5718143937. The cubic root of 22663044 is about 282.9910804749.

Adding to 22663044 its reverse (44036622), we get a palindrome (66699666).

The spelling of 22663044 in words is "twenty-two million, six hundred sixty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 223 446 669 892 941 1338 1882 2007 2676 2823 3764 4014 5646 6021 8028 8469 11292 12042 16938 24084 25407 33876 50814 101628 209843 419686 629529 839372 1259058 1888587 2518116 3777174 5665761 7554348 11331522 22663044