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22469472 = 2532611279
BaseRepresentation
bin101010110110…
…1101101100000
31120021120022200
41111231231200
521223010342
62121333200
7361662444
oct125555540
946246280
1022469472
1111757713
127637200
13486945c
142dac824
151e8c94c
hex156db60

22469472 has 72 divisors (see below), whose sum is σ = 64995840. Its totient is φ = 7361280.

The previous prime is 22469453. The next prime is 22469477. The reversal of 22469472 is 27496422.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22469477) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16929 + ... + 18207.

It is an arithmetic number, because the mean of its divisors is an integer number (902720).

Almost surely, 222469472 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 22469472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

22469472 is an abundant number, since it is smaller than the sum of its proper divisors (42526368).

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

22469472 is a wasteful number, since it uses less digits than its factorization.

22469472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1345 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 22469472 is about 4740.1974642413. The cubic root of 22469472 is about 282.1830711070.

It can be divided in two parts, 224 and 69472, that added together give a palindrome (69696).

The spelling of 22469472 in words is "twenty-two million, four hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1279 1464 1952 2196 2558 2928 3837 4392 5116 5856 7674 8784 10232 11511 15348 17568 20464 23022 30696 40928 46044 61392 78019 92088 122784 156038 184176 234057 312076 368352 468114 624152 702171 936228 1248304 1404342 1872456 2496608 2808684 3744912 5617368 7489824 11234736 22469472