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2225441320 = 2351272811559
BaseRepresentation
bin1000010010100101…
…1000101000101000
312202002120010120121
42010221120220220
514024203110240
61004454533024
7106101640054
oct20451305050
95662503517
102225441320
11a42227003
12521367174
1329609b6ab
141717c0c64
15d059504a
hex84a58a28

2225441320 has 64 divisors (see below), whose sum is σ = 5067878400. Its totient is φ = 879459840.

The previous prime is 2225441263. The next prime is 2225441357. The reversal of 2225441320 is 231445222.

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 15 ways as a sum of consecutive naturals, for example, 1426701 + ... + 1428259.

It is an arithmetic number, because the mean of its divisors is an integer number (79185600).

Almost surely, 22225441320 is an apocalyptic number.

2225441320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225441320 is an abundant number, since it is smaller than the sum of its proper divisors (2842437080).

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

2225441320 is a wasteful number, since it uses less digits than its factorization.

2225441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2225441320 is about 47174.5834109852. The cubic root of 2225441320 is about 1305.5856934592.

Adding to 2225441320 its reverse (231445222), we get a palindrome (2456886542).

The spelling of 2225441320 in words is "two billion, two hundred twenty-five million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 127 254 281 508 562 635 1016 1124 1270 1405 1559 2248 2540 2810 3118 5080 5620 6236 7795 11240 12472 15590 31180 35687 62360 71374 142748 178435 197993 285496 356870 395986 438079 713740 791972 876158 989965 1427480 1583944 1752316 1979930 2190395 3504632 3959860 4380790 7919720 8761580 17523160 55636033 111272066 222544132 278180165 445088264 556360330 1112720660 2225441320