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4123228050 = 2345210092
BaseRepresentation
bin1111010111000011…
…0111011110010010
3101122100120200120000
43311300313132102
531421021244200
61521051030430
7204114601014
oct36560673622
911570520500
104123228050
111826500297
12970a3b416
13509308a16
142b18701b4
15191eb7300
hexf5c37792

4123228050 has 90 divisors (see below), whose sum is σ = 11467831023. Its totient is φ = 1098437760.

The previous prime is 4123228049. The next prime is 4123228051. The reversal of 4123228050 is 508223214.

It is an interprime number because it is at equal distance from previous prime (4123228049) and next prime (4123228051).

It can be written as a sum of positive squares in 5 ways, for example, as 764909649 + 3358318401 = 27657^2 + 57951^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=45405.

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

It is not an unprimeable number, because it can be changed into a prime (4123228051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4085946 + ... + 4086954.

Almost surely, 24123228050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123228050

4123228050 is an abundant number, since it is smaller than the sum of its proper divisors (7344602973).

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

4123228050 is an equidigital number, since it uses as much as digits as its factorization.

4123228050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4123228050 is about 64212.3667995504. The cubic root of 4123228050 is about 1603.5374920900.

The spelling of 4123228050 in words is "four billion, one hundred twenty-three million, two hundred twenty-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1009 1350 2018 2025 3027 4050 5045 6054 9081 10090 15135 18162 25225 27243 30270 45405 50450 54486 75675 81729 90810 136215 151350 163458 227025 272430 408645 454050 681075 817290 1018081 1362150 2036162 2043225 3054243 4086450 5090405 6108486 9162729 10180810 15271215 18325458 25452025 27488187 30542430 45813645 50904050 54976374 76356075 82464561 91627290 137440935 152712150 164929122 229068225 274881870 412322805 458136450 687204675 824645610 1374409350 2061614025 4123228050