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2225316320 = 25517839857
BaseRepresentation
bin1000010010100011…
…1010000111100000
312202002022210002222
42010220322013200
514024140110240
61004452130212
7106100606453
oct20450720740
95662283088
102225316320
11a421510a7
12521306968
13296056826
1417178b49a
15d056ceb5
hex84a3a1e0

2225316320 has 96 divisors (see below), whose sum is σ = 5634201888. Its totient is φ = 827588608.

The previous prime is 2225316299. The next prime is 2225316329. The reversal of 2225316320 is 236135222.

It is a self number, because there is not a number n which added to its sum of digits gives 2225316320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225316329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220832 + ... + 230688.

It is an arithmetic number, because the mean of its divisors is an integer number (58689603).

Almost surely, 22225316320 is an apocalyptic number.

2225316320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817100944).

2225316320 is an abundant number, since it is smaller than the sum of its proper divisors (3408885568).

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

2225316320 is a wasteful number, since it uses less digits than its factorization.

2225316320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972 (or 9964 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2225316320 is about 47173.2585264152. The cubic root of 2225316320 is about 1305.5612486796.

The spelling of 2225316320 in words is "two billion, two hundred twenty-five million, three hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 83 85 136 160 166 170 272 332 340 415 544 664 680 830 1328 1360 1411 1660 2656 2720 2822 3320 5644 6640 7055 9857 11288 13280 14110 19714 22576 28220 39428 45152 49285 56440 78856 98570 112880 157712 167569 197140 225760 315424 335138 394280 670276 788560 818131 837845 1340552 1577120 1636262 1675690 2681104 3272524 3351380 4090655 5362208 6545048 6702760 8181310 13090096 13405520 13908227 16362620 26180192 26811040 27816454 32725240 55632908 65450480 69541135 111265816 130900960 139082270 222531632 278164540 445063264 556329080 1112658160 2225316320