Search a number
-
+
4210220124 = 22321146322963
BaseRepresentation
bin1111101011110010…
…1101110001011100
3101212102021100020200
43322330231301130
532110304020444
61533435343500
7206222165145
oct37274556134
911772240220
104210220124
111870617770
12995bb1b90
13521346816
142bd236acc
1519994c969
hexfaf2dc5c

4210220124 has 72 divisors (see below), whose sum is σ = 11635583232. Its totient is φ = 1273013280.

The previous prime is 4210220123. The next prime is 4210220129.

4210220124 is a `hidden beast` number, since 421 + 0 + 220 + 1 + 24 = 666.

4210220124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4210220097 and 4210220106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4210220123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171867 + ... + 194829.

Almost surely, 24210220124 is an apocalyptic number.

4210220124 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 4210220124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5817791616).

4210220124 is an abundant number, since it is smaller than the sum of its proper divisors (7425363108).

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

4210220124 is a wasteful number, since it uses less digits than its factorization.

4210220124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23447 (or 23442 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4210220124 is about 64886.2090432166. The cubic root of 4210220124 is about 1614.7362717347.

It can be divided in two parts, 42102 and 20124, that added together give a palindrome (62226).

The spelling of 4210220124 in words is "four billion, two hundred ten million, two hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 463 926 1389 1852 2778 4167 5093 5556 8334 10186 15279 16668 20372 22963 30558 45837 45926 61116 68889 91674 91852 137778 183348 206667 252593 275556 413334 505186 757779 826668 1010372 1515558 2273337 3031116 4546674 9093348 10631869 21263738 31895607 42527476 63791214 95686821 116950559 127582428 191373642 233901118 350851677 382747284 467802236 701703354 1052555031 1403406708 2105110062 4210220124