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2225322312 = 2332315232647
BaseRepresentation
bin1000010010100011…
…1011100101001000
312202002100002022220
42010220323211020
514024140303222
61004452214040
7106100633103
oct20450734510
95662302286
102225322312
11a42155654
1252130a320
13296059485
1417178d73a
15d056eb5c
hex84a3b948

2225322312 has 64 divisors (see below), whose sum is σ = 5811194880. Its totient is φ = 708789312.

The previous prime is 2225322311. The next prime is 2225322317. The reversal of 2225322312 is 2132235222.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2225322311) 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, 839373 + ... + 842019.

It is an arithmetic number, because the mean of its divisors is an integer number (90799920).

Almost surely, 22225322312 is an apocalyptic number.

It is an amenable number.

2225322312 is an abundant number, since it is smaller than the sum of its proper divisors (3585872568).

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

2225322312 is a wasteful number, since it uses less digits than its factorization.

2225322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4198 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 2225322312 is about 47173.3220369310. The cubic root of 2225322312 is about 1305.5624204855.

Adding to 2225322312 its reverse (2132235222), we get a palindrome (4357557534).

The spelling of 2225322312 in words is "two billion, two hundred twenty-five million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1523 2647 3046 4569 5294 6092 7941 9138 10588 12184 15882 18276 21176 31764 35029 36552 60881 63528 70058 105087 121762 140116 182643 210174 243524 280232 365286 420348 487048 730572 840696 1461144 4031381 8062762 12094143 16125524 24188286 32251048 48376572 92721763 96753144 185443526 278165289 370887052 556330578 741774104 1112661156 2225322312