Search a number
-
+
2225312550 = 232529195381
BaseRepresentation
bin1000010010100011…
…1001001100100110
312202002022120221100
42010220321030212
514024140000200
61004452100530
7106100562456
oct20450711446
95662276840
102225312550
11a4214928a
12521304746
13296054bb6
14171789d66
15d056bd00
hex84a39326

2225312550 has 72 divisors (see below), whose sum is σ = 5986290960. Its totient is φ = 592660800.

The previous prime is 2225312549. The next prime is 2225312567. The reversal of 2225312550 is 552135222.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 410860 + ... + 416240.

It is an arithmetic number, because the mean of its divisors is an integer number (83142930).

Almost surely, 22225312550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225312550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993145480).

2225312550 is an abundant number, since it is smaller than the sum of its proper divisors (3760978410).

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

2225312550 is a wasteful number, since it uses less digits than its factorization.

2225312550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2225312550 is about 47173.2185673185. The cubic root of 2225312550 is about 1305.5605114109.

Adding to 2225312550 its reverse (552135222), we get a palindrome (2777447772).

The spelling of 2225312550 in words is "two billion, two hundred twenty-five million, three hundred twelve thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 919 1838 2757 4595 5381 5514 8271 9190 10762 13785 16143 16542 22975 26905 27570 32286 41355 45950 48429 53810 68925 80715 82710 96858 134525 137850 161430 206775 242145 269050 403575 413550 484290 807150 1210725 2421450 4945139 9890278 14835417 24725695 29670834 44506251 49451390 74177085 89012502 123628475 148354170 222531255 247256950 370885425 445062510 741770850 1112656275 2225312550