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4223130313224 = 2333150911151769
BaseRepresentation
bin111101011101000110001…
…011101010001000001000
3112221201122012202001011010
4331131012023222020020
51023142432330010344
612552025043003520
7614053051243464
oct75350613521010
915851565661133
104223130313224
111389023a68509
125825799695a0
132483161a1c84
141085873514a4
1574cbedd08b9
hex3d7462ea208

4223130313224 has 64 divisors (see below), whose sum is σ = 10919813184000. Its totient is φ = 1359623554560.

The previous prime is 4223130313201. The next prime is 4223130313243.

It is a happy number.

4223130313224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4223130313191 and 4223130313200.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5197189 + ... + 5954580.

It is an arithmetic number, because the mean of its divisors is an integer number (170622081000).

Almost surely, 24223130313224 is an apocalyptic number.

It is an amenable number.

4223130313224 is an abundant number, since it is smaller than the sum of its proper divisors (6696682870776).

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

4223130313224 is a wasteful number, since it uses less digits than its factorization.

4223130313224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11152318 (or 11152314 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 4223130 and 313224, that added together give a palindrome (4536354).

The spelling of 4223130313224 in words is "four trillion, two hundred twenty-three billion, one hundred thirty million, three hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 509 744 1018 1527 2036 3054 4072 6108 12216 15779 31558 47337 63116 94674 126232 189348 378696 11151769 22303538 33455307 44607076 66910614 89214152 133821228 267642456 345704839 691409678 1037114517 1382819356 2074229034 2765638712 4148458068 5676250421 8296916136 11352500842 17028751263 22705001684 34057502526 45410003368 68115005052 136230010104 175963763051 351927526102 527891289153 703855052204 1055782578306 1407710104408 2111565156612 4223130313224