Search a number
-
+
2225203080 = 233523806233
BaseRepresentation
bin1000010010100001…
…1110011110001000
312202002010000202220
42010220132132020
514024122444310
61004445454040
7106066625352
oct20450363610
95662100686
102225203080
11a42084011
12521271320
13296017119
1417175c0d2
15d0549670
hex84a1e788

2225203080 has 64 divisors (see below), whose sum is σ = 6965861760. Its totient is φ = 567587328.

The previous prime is 2225203061. The next prime is 2225203081. The reversal of 2225203080 is 803025222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2225203080.

It is not an unprimeable number, because it can be changed into a prime (2225203081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400357 + ... + 405876.

It is an arithmetic number, because the mean of its divisors is an integer number (108841590).

Almost surely, 22225203080 is an apocalyptic number.

2225203080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225203080 is an abundant number, since it is smaller than the sum of its proper divisors (4740658680).

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

2225203080 is a wasteful number, since it uses less digits than its factorization.

2225203080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806270 (or 806266 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2225203080 is about 47172.0582548610. The cubic root of 2225203080 is about 1305.5391028747.

The spelling of 2225203080 in words is "two billion, two hundred twenty-five million, two hundred three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 806233 1612466 2418699 3224932 4031165 4837398 6449864 8062330 9674796 12093495 16124660 18543359 19349592 24186990 32249320 37086718 48373980 55630077 74173436 92716795 96747960 111260154 148346872 185433590 222520308 278150385 370867180 445040616 556300770 741734360 1112601540 2225203080