Search a number
-
+
4427228130 = 23513113100459
BaseRepresentation
bin1000001111110001…
…00010001111100010
3102102112121111021020
410013320202033202
533031332300010
62011150510310
7214465550433
oct40770421742
912375544236
104427228130
111972067026
12a36805396
135572a7420
142ddda548a
151ada16470
hex107e223e2

4427228130 has 64 divisors (see below), whose sum is σ = 11544059520. Its totient is φ = 1080124416.

The previous prime is 4427228123. The next prime is 4427228137. The reversal of 4427228130 is 318227244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4427228123) and next prime (4427228137).

It is a junction number, because it is equal to n+sod(n) for n = 4427228091 and 4427228100.

It is not an unprimeable number, because it can be changed into a prime (4427228137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6160 + ... + 94299.

It is an arithmetic number, because the mean of its divisors is an integer number (180375930).

Almost surely, 24427228130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4427228130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772029760).

4427228130 is an abundant number, since it is smaller than the sum of its proper divisors (7116831390).

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

4427228130 is a wasteful number, since it uses less digits than its factorization.

4427228130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100595.

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4427228130 is about 66537.4190211794. The cubic root of 4427228130 is about 1642.0156816362.

The spelling of 4427228130 in words is "four billion, four hundred twenty-seven million, two hundred twenty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 113 130 195 226 339 390 565 678 1130 1469 1695 2938 3390 4407 7345 8814 14690 22035 44070 100459 200918 301377 502295 602754 1004590 1305967 1506885 2611934 3013770 3917901 6529835 7835802 11351867 13059670 19589505 22703734 34055601 39179010 56759335 68111202 113518670 147574271 170278005 295148542 340556010 442722813 737871355 885445626 1475742710 2213614065 4427228130