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2225144440 = 235347160313
BaseRepresentation
bin1000010010100001…
…0000001001111000
312202002000001100001
42010220100021320
514024114110230
61004444322344
7106066262401
oct20450201170
95662001301
102225144440
11a42043a52
125212433b4
13295cc651c
141717449a8
15d05370ca
hex84a10278

2225144440 has 32 divisors (see below), whose sum is σ = 5021034480. Its totient is φ = 887487232.

The previous prime is 2225144423. The next prime is 2225144477. The reversal of 2225144440 is 444415222.

It is a junction number, because it is equal to n+sod(n) for n = 2225144399 and 2225144408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66277 + ... + 94036.

Almost surely, 22225144440 is an apocalyptic number.

2225144440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225144440 is an abundant number, since it is smaller than the sum of its proper divisors (2795890040).

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

2225144440 is a wasteful number, since it uses less digits than its factorization.

2225144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160671 (or 160667 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 2225144440 is about 47171.4366963738. The cubic root of 2225144440 is about 1305.5276346352.

Adding to 2225144440 its reverse (444415222), we get a palindrome (2669559662).

The spelling of 2225144440 in words is "two billion, two hundred twenty-five million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 347 694 1388 1735 2776 3470 6940 13880 160313 320626 641252 801565 1282504 1603130 3206260 6412520 55628611 111257222 222514444 278143055 445028888 556286110 1112572220 2225144440