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4164022324 = 2271119170783
BaseRepresentation
bin1111100000110001…
…1111000000110100
3101202012100020210001
43320030133000310
532011442203244
61525105241044
7205121414530
oct37014370064
911665306701
104164022324
111847533670
12982633184
135148bcc47
142b704cbc0
151958745d4
hexf831f034

4164022324 has 48 divisors (see below), whose sum is σ = 9132834816. Its totient is φ = 1613829600.

The previous prime is 4164022301. The next prime is 4164022337. The reversal of 4164022324 is 4232204614.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4164022292 and 4164022301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23437 + ... + 94219.

It is an arithmetic number, because the mean of its divisors is an integer number (190267392).

Almost surely, 24164022324 is an apocalyptic number.

4164022324 is a gapful number since it is divisible by the number (44) 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 4164022324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566417408).

4164022324 is an abundant number, since it is smaller than the sum of its proper divisors (4968812492).

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

4164022324 is a wasteful number, since it uses less digits than its factorization.

4164022324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70996 (or 70994 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4164022324 is about 64529.2361956966. The cubic root of 4164022324 is about 1608.8084910010.

Adding to 4164022324 its reverse (4232204614), we get a palindrome (8396226938).

The spelling of 4164022324 in words is "four billion, one hundred sixty-four million, twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 191 308 382 764 1337 2101 2674 4202 5348 8404 14707 29414 58828 70783 141566 283132 495481 778613 990962 1557226 1981924 3114452 5450291 10900582 13519553 21801164 27039106 54078212 94636871 148715083 189273742 297430166 378547484 594860332 1041005581 2082011162 4164022324