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2225278420 = 2253719315581
BaseRepresentation
bin1000010010100011…
…0000110111010100
312202002020212010021
42010220300313110
514024132402140
61004451234524
7106100361121
oct20450606724
95662225107
102225278420
11a42125682
125212a8a44
132960424c1
1417177b748
15d0561b4a
hex84a30dd4

2225278420 has 48 divisors (see below), whose sum is σ = 4824561168. Its totient is φ = 861511680.

The previous prime is 2225278387. The next prime is 2225278441. The reversal of 2225278420 is 248725222.

It can be written as a sum of positive squares in 8 ways, for example, as 13645636 + 2211632784 = 3694^2 + 47028^2 .

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 15 ways as a sum of consecutive naturals, for example, 135030 + ... + 150610.

It is an arithmetic number, because the mean of its divisors is an integer number (100511691).

Almost surely, 22225278420 is an apocalyptic number.

2225278420 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 2225278420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412280584).

2225278420 is an abundant number, since it is smaller than the sum of its proper divisors (2599282748).

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

2225278420 is a wasteful number, since it uses less digits than its factorization.

2225278420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15820 (or 15818 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 2225278420 is about 47172.8568140620. The cubic root of 2225278420 is about 1305.5538368416.

The spelling of 2225278420 in words is "two billion, two hundred twenty-five million, two hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 193 370 386 740 772 965 1930 3860 7141 14282 15581 28564 31162 35705 62324 71410 77905 142820 155810 311620 576497 1152994 2305988 2882485 3007133 5764970 6014266 11529940 12028532 15035665 30071330 60142660 111263921 222527842 445055684 556319605 1112639210 2225278420