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4113223224 = 23311106314657
BaseRepresentation
bin1111010100101010…
…1100111000111000
3101121122202101111220
43311022230320320
531410441120344
61520052352040
7203633551305
oct36512547070
911548671456
104113223224
111820897540
12969615620
13507214bc6
142b03c80ac
1519118cc19
hexf52ace38

4113223224 has 64 divisors (see below), whose sum is σ = 11229200640. Its totient is φ = 1245173760.

The previous prime is 4113223223. The next prime is 4113223249. The reversal of 4113223224 is 4223223114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4113223194 and 4113223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113223223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273304 + ... + 287960.

It is an arithmetic number, because the mean of its divisors is an integer number (175456260).

Almost surely, 24113223224 is an apocalyptic number.

4113223224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4113223224 is an abundant number, since it is smaller than the sum of its proper divisors (7115977416).

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

4113223224 is a wasteful number, since it uses less digits than its factorization.

4113223224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15740 (or 15736 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 4113223224 is about 64134.4152853988. The cubic root of 4113223224 is about 1602.2394713094.

Adding to 4113223224 its reverse (4223223114), we get a palindrome (8336446338).

The spelling of 4113223224 in words is "four billion, one hundred thirteen million, two hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1063 2126 3189 4252 6378 8504 11693 12756 14657 23386 25512 29314 35079 43971 46772 58628 70158 87942 93544 117256 140316 161227 175884 280632 322454 351768 483681 644908 967362 1289816 1934724 3869448 15580391 31160782 46741173 62321564 93482346 124643128 171384301 186964692 342768602 373929384 514152903 685537204 1028305806 1371074408 2056611612 4113223224