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2225717540 = 225314218527
BaseRepresentation
bin1000010010101001…
…1100000100100100
312202010002011110222
42010222130010210
514024240430130
61004504503512
7106104200264
oct20452340444
95663064428
102225717540
11a423a5592
1252147ab98
13296167337
141718537a4
15d05ebce5
hex84a9c124

2225717540 has 48 divisors (see below), whose sum is σ = 4836808704. Its totient is φ = 859420800.

The previous prime is 2225717467. The next prime is 2225717579. The reversal of 2225717540 is 457175222.

It is a self number, because there is not a number n which added to its sum of digits gives 2225717540.

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, 256757 + ... + 265283.

It is an arithmetic number, because the mean of its divisors is an integer number (100766848).

Almost surely, 22225717540 is an apocalyptic number.

2225717540 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 2225717540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418404352).

2225717540 is an abundant number, since it is smaller than the sum of its proper divisors (2611091164).

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

2225717540 is a wasteful number, since it uses less digits than its factorization.

2225717540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8988 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 35.

The square root of 2225717540 is about 47177.5109559629. The cubic root of 2225717540 is about 1305.6397073092.

The spelling of 2225717540 in words is "two billion, two hundred twenty-five million, seven hundred seventeen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 421 620 842 1684 2105 4210 8420 8527 13051 17054 26102 34108 42635 52204 65255 85270 130510 170540 261020 264337 528674 1057348 1321685 2643370 3589867 5286740 7179734 14359468 17949335 35898670 71797340 111285877 222571754 445143508 556429385 1112858770 2225717540