Search a number
-
+
4222334116 = 2273111321521
BaseRepresentation
bin1111101110101011…
…1011010010100100
3101220021001210112001
43323222323102210
532121404142431
61534551135044
7206430151000
oct37352732244
911807053461
104222334116
111877441130
1299a074484
135239c8670
142c0aab700
1519aa41e61
hexfbabb4a4

4222334116 has 96 divisors (see below), whose sum is σ = 10123948800. Its totient is φ = 1518451200.

The previous prime is 4222334113. The next prime is 4222334167. The reversal of 4222334116 is 6114332224.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4222334111) 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 31 ways as a sum of consecutive naturals, for example, 185436 + ... + 206956.

It is an arithmetic number, because the mean of its divisors is an integer number (105457800).

Almost surely, 24222334116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222334116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061974400).

4222334116 is an abundant number, since it is smaller than the sum of its proper divisors (5901614684).

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

4222334116 is a wasteful number, since it uses less digits than its factorization.

4222334116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21570 (or 21554 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 4222334116 is about 64979.4899641418. The cubic root of 4222334116 is about 1616.2834728222.

The spelling of 4222334116 in words is "four billion, two hundred twenty-two million, three hundred thirty-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 343 364 539 572 637 686 1001 1078 1274 1372 2002 2156 2548 3773 4004 4459 7007 7546 8918 14014 15092 17836 21521 28028 43042 49049 86084 98098 150647 196196 236731 279773 301294 473462 559546 602588 946924 1054529 1119092 1657117 1958411 2109058 3077503 3314234 3916822 4218116 6155006 6628468 7381703 7833644 11599819 12310012 13708877 14763406 21542521 23199638 27417754 29526812 43085042 46399276 54835508 81198733 86170084 95962139 150797647 162397466 191924278 301595294 324794932 383848556 603190588 1055583529 2111167058 4222334116