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2225010040 = 2351143911519
BaseRepresentation
bin1000010010011110…
…1111010101111000
312202001202012222021
42010213233111320
514024100310130
61004441404224
7106065162511
oct20447572570
95661665867
102225010040
11a41a61a80
12521199674
13295c7a2b6
1417170ba08
15d050c37a
hex849ef578

2225010040 has 64 divisors (see below), whose sum is σ = 5474304000. Its totient is φ = 807181440.

The previous prime is 2225010019. The next prime is 2225010043. The reversal of 2225010040 is 400105222.

It is a junction number, because it is equal to n+sod(n) for n = 2225009996 and 2225010023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225010043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187401 + ... + 198919.

It is an arithmetic number, because the mean of its divisors is an integer number (85536000).

Almost surely, 22225010040 is an apocalyptic number.

2225010040 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 2225010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737152000).

2225010040 is an abundant number, since it is smaller than the sum of its proper divisors (3249293960).

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

2225010040 is a wasteful number, since it uses less digits than its factorization.

2225010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11980 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2225010040 is about 47170.0120839501. The cubic root of 2225010040 is about 1305.5013492334.

Adding to 2225010040 its reverse (400105222), we get a palindrome (2625115262).

The spelling of 2225010040 in words is "two billion, two hundred twenty-five million, ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 439 440 878 1756 2195 3512 4390 4829 8780 9658 11519 17560 19316 23038 24145 38632 46076 48290 57595 92152 96580 115190 126709 193160 230380 253418 460760 506836 633545 1013672 1267090 2534180 5056841 5068360 10113682 20227364 25284205 40454728 50568410 55625251 101136820 111250502 202273640 222501004 278126255 445002008 556252510 1112505020 2225010040