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2220315040 = 25589155921
BaseRepresentation
bin1000010001010111…
…0101000110100000
312201201220200122101
42010111311012200
514021400040130
61004153020144
7106010236456
oct20425650640
95651820571
102220315040
11a3a345609
1251b6b4654
13294cc52a8
14170c489d6
15cedd11ca
hex845751a0

2220315040 has 48 divisors (see below), whose sum is σ = 5304466440. Its totient is φ = 878141440.

The previous prime is 2220315011. The next prime is 2220315047. The reversal of 2220315040 is 405130222.

It can be written as a sum of positive squares in 4 ways, for example, as 1398460816 + 821854224 = 37396^2 + 28668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2220314999 and 2220315017.

It is not an unprimeable number, because it can be changed into a prime (2220315047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63721 + ... + 92200.

Almost surely, 22220315040 is an apocalyptic number.

2220315040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220315040 is an abundant number, since it is smaller than the sum of its proper divisors (3084151400).

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

2220315040 is a wasteful number, since it uses less digits than its factorization.

2220315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156025 (or 156017 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2220315040 is about 47120.2190147711. The cubic root of 2220315040 is about 1304.5824552424.

Adding to 2220315040 its reverse (405130222), we get a palindrome (2625445262).

The spelling of 2220315040 in words is "two billion, two hundred twenty million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 7120 14240 155921 311842 623684 779605 1247368 1559210 2494736 3118420 4989472 6236840 12473680 13876969 24947360 27753938 55507876 69384845 111015752 138769690 222031504 277539380 444063008 555078760 1110157520 2220315040