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2290865040 = 243253181757
BaseRepresentation
bin1000100010001011…
…1101001110010000
312220122200000001100
42020202331032100
514142430140130
61015153104400
7110525013552
oct21042751620
95818600040
102290865040
11a761518a2
1253b258100
132a67c7259
1417a3714d2
15d61b9c60
hex888bd390

2290865040 has 60 divisors (see below), whose sum is σ = 7693490844. Its totient is φ = 610897152.

The previous prime is 2290865011. The next prime is 2290865051. The reversal of 2290865040 is 405680922.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1550154384 + 740710656 = 39372^2 + 27216^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2290864986 and 2290865004.

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 11 ways as a sum of consecutive naturals, for example, 1590159 + ... + 1591598.

Almost surely, 22290865040 is an apocalyptic number.

2290865040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2290865040 is an abundant number, since it is smaller than the sum of its proper divisors (5402625804).

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

2290865040 is a wasteful number, since it uses less digits than its factorization.

2290865040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181776 (or 3181767 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2290865040 is about 47862.9819380281. The cubic root of 2290865040 is about 1318.2562373926.

The spelling of 2290865040 in words is "two billion, two hundred ninety million, eight hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3181757 6363514 9545271 12727028 15908785 19090542 25454056 28635813 31817570 38181084 47726355 50908112 57271626 63635140 76362168 95452710 114543252 127270280 143179065 152724336 190905420 229086504 254540560 286358130 381810840 458173008 572716260 763621680 1145432520 2290865040