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22453056 = 2632172293
BaseRepresentation
bin101010110100…
…1101101000000
31120020201210200
41111221231000
521221444211
62121125200
7361563543
oct125515500
946221720
1022453056
111174634a
127629800
134861b42
142da685a
151e87b56
hex1569b40

22453056 has 84 divisors (see below), whose sum is σ = 68173092. Its totient is φ = 7041024.

The previous prime is 22453033. The next prime is 22453061. The reversal of 22453056 is 65035422.

It can be written as a sum of positive squares in 2 ways, for example, as 12110400 + 10342656 = 3480^2 + 3216^2 .

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 11 ways as a sum of consecutive naturals, for example, 8646 + ... + 10938.

Almost surely, 222453056 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 22453056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34086546).

22453056 is an abundant number, since it is smaller than the sum of its proper divisors (45720036).

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

22453056 is a wasteful number, since it uses less digits than its factorization.

22453056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 22453056 is about 4738.4655744239. The cubic root of 22453056 is about 282.1143342024.

Adding to 22453056 its reverse (65035422), we get a palindrome (87488478).

The spelling of 22453056 in words is "twenty-two million, four hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2293 2448 3264 4586 4896 6879 9172 9792 13758 18344 20637 27516 36688 38981 41274 55032 73376 77962 82548 110064 116943 146752 155924 165096 220128 233886 311848 330192 350829 440256 467772 623696 660384 701658 935544 1247392 1320768 1403316 1871088 2494784 2806632 3742176 5613264 7484352 11226528 22453056