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2220041120 = 255111261387
BaseRepresentation
bin1000010001010011…
…0010001110100000
312201201101202220012
42010110302032200
514021312303440
61004143104052
7106005016043
oct20424621640
95651352805
102220041120
11a3a178830
1251b5a2028
13294c2a6cb
14170bb6c5a
15ced79e65
hex845323a0

2220041120 has 48 divisors (see below), whose sum is σ = 5721655968. Its totient is φ = 807287040.

The previous prime is 2220041119. The next prime is 2220041143. The reversal of 2220041120 is 211400222.

It is a junction number, because it is equal to n+sod(n) for n = 2220041095 and 2220041104.

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 7 ways as a sum of consecutive naturals, for example, 628934 + ... + 632453.

It is an arithmetic number, because the mean of its divisors is an integer number (119201166).

Almost surely, 22220041120 is an apocalyptic number.

2220041120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220041120 is an abundant number, since it is smaller than the sum of its proper divisors (3501614848).

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

2220041120 is a wasteful number, since it uses less digits than its factorization.

2220041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261413 (or 1261405 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2220041120 is about 47117.3123172364. The cubic root of 2220041120 is about 1304.5288043090.

Adding to 2220041120 its reverse (211400222), we get a palindrome (2431441342).

The spelling of 2220041120 in words is "two billion, two hundred twenty million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 1261387 2522774 5045548 6306935 10091096 12613870 13875257 20182192 25227740 27750514 40364384 50455480 55501028 69376285 100910960 111002056 138752570 201821920 222004112 277505140 444008224 555010280 1110020560 2220041120