Search a number
-
+
2225103320 = 235115057053
BaseRepresentation
bin1000010010100000…
…0110000111011000
312202001220221221002
42010220012013120
514024111301240
61004443404132
7106066031456
oct20450060730
95661827832
102225103320
11a42016070
12521223648
13295cb08ab
141717339d6
15d0529d15
hex84a061d8

2225103320 has 32 divisors (see below), whose sum is σ = 5461618320. Its totient is φ = 809128320.

The previous prime is 2225103317. The next prime is 2225103379. The reversal of 2225103320 is 233015222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2225103292 and 2225103301.

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, 2528087 + ... + 2528966.

Almost surely, 22225103320 is an apocalyptic number.

2225103320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225103320 is an abundant number, since it is smaller than the sum of its proper divisors (3236515000).

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

2225103320 is a wasteful number, since it uses less digits than its factorization.

2225103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057075 (or 5057071 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2225103320 is about 47171.0008373789. Note that the first 3 decimals coincide. The cubic root of 2225103320 is about 1305.5195926663.

Adding to 2225103320 its reverse (233015222), we get a palindrome (2458118542).

The spelling of 2225103320 in words is "two billion, two hundred twenty-five million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 5057053 10114106 20228212 25285265 40456424 50570530 55627583 101141060 111255166 202282120 222510332 278137915 445020664 556275830 1112551660 2225103320