Search a number
-
+
2201101024 = 25532714789
BaseRepresentation
bin1000001100110010…
…0010001011100000
312200101202111222011
42003030202023200
514001440213044
61002225122304
7105355023103
oct20314421340
95611674864
102201101024
11a2a511861
12515189394
13291028855
1416c48673a
15cd388134
hex833222e0

2201101024 has 48 divisors (see below), whose sum is σ = 4432397760. Its totient is φ = 1075576320.

The previous prime is 2201100977. The next prime is 2201101043. The reversal of 2201101024 is 4201011022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2201100995 and 2201101013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457222 + ... + 462010.

It is an arithmetic number, because the mean of its divisors is an integer number (92341620).

Almost surely, 22201101024 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 2201101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216198880).

2201101024 is an abundant number, since it is smaller than the sum of its proper divisors (2231296736).

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

2201101024 is a wasteful number, since it uses less digits than its factorization.

2201101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2201101024 is about 46915.8930853927. The cubic root of 2201101024 is about 1300.8083776965.

Adding to 2201101024 its reverse (4201011022), we get a palindrome (6402112046).

The spelling of 2201101024 in words is "two billion, two hundred one million, one hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 53 106 212 271 424 542 848 1084 1696 2168 4336 4789 8672 9578 14363 19156 28726 38312 57452 76624 114904 153248 229808 253817 459616 507634 1015268 1297819 2030536 2595638 4061072 5191276 8122144 10382552 20765104 41530208 68784407 137568814 275137628 550275256 1100550512 2201101024