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22848140 = 2257293557
BaseRepresentation
bin101011100101…
…0001010001100
31120222210202102
41113022022030
521322120030
62133414232
7365130440
oct127121214
946883672
1022848140
1111996167
12779a378
13496c913
14306a820
152014c45
hex15ca28c

22848140 has 48 divisors (see below), whose sum is σ = 55121472. Its totient is φ = 7792896.

The previous prime is 22848121. The next prime is 22848149. The reversal of 22848140 is 4184822.

It is not an unprimeable number, because it can be changed into a prime (22848149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40742 + ... + 41298.

It is an arithmetic number, because the mean of its divisors is an integer number (1148364).

Almost surely, 222848140 is an apocalyptic number.

22848140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22848140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27560736).

22848140 is an abundant number, since it is smaller than the sum of its proper divisors (32273332).

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

22848140 is a wasteful number, since it uses less digits than its factorization.

22848140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 22848140 is about 4779.9728032699. The cubic root of 22848140 is about 283.7594173616.

The spelling of 22848140 in words is "twenty-two million, eight hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 293 557 586 1114 1172 1465 2051 2228 2785 2930 3899 4102 5570 5860 7798 8204 10255 11140 15596 19495 20510 38990 41020 77980 163201 326402 652804 816005 1142407 1632010 2284814 3264020 4569628 5712035 11424070 22848140