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120444224 = 2641197233
BaseRepresentation
bin1110010110111…
…01010101000000
322101122012102012
413023131111000
5221313203344
615541312052
72661521225
oct713352500
9271565365
10120444224
1161a9558a
1234405628
131bc51194
1411dd394c
15a89229e
hex72dd540

120444224 has 56 divisors (see below), whose sum is σ = 247134888. Its totient is φ = 58204160.

The previous prime is 120444209. The next prime is 120444227. The reversal of 120444224 is 422444021.

It can be written as a sum of positive squares in 4 ways, for example, as 8761600 + 111682624 = 2960^2 + 10568^2 .

It is a super-2 number, since 2×1204442242 = 29013622189924352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120444224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120444227) 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 7 ways as a sum of consecutive naturals, for example, 516812 + ... + 517044.

It is an arithmetic number, because the mean of its divisors is an integer number (4413123).

Almost surely, 2120444224 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 120444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123567444).

120444224 is an abundant number, since it is smaller than the sum of its proper divisors (126690664).

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

120444224 is a wasteful number, since it uses less digits than its factorization.

120444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 120444224 is about 10974.7083788135. The cubic root of 120444224 is about 493.8503045912.

Adding to 120444224 its reverse (422444021), we get a palindrome (542888245).

The spelling of 120444224 in words is "one hundred twenty million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 197 233 328 394 466 656 788 932 1312 1576 1864 2624 3152 3728 6304 7456 8077 9553 12608 14912 16154 19106 32308 38212 45901 64616 76424 91802 129232 152848 183604 258464 305696 367208 516928 611392 734416 1468832 1881941 2937664 3763882 7527764 15055528 30111056 60222112 120444224