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2210120040 = 2335127145021
BaseRepresentation
bin1000001110111011…
…1100000101101000
312201000201201201210
42003232330011220
514011242320130
61003150313120
7105524465442
oct20356740550
95630651653
102210120040
11a34611997
125181b87a0
13292b65a4b
1416d753492
15ce06a5b0
hex83bbc168

2210120040 has 64 divisors (see below), whose sum is σ = 6682613760. Its totient is φ = 584720640.

The previous prime is 2210120027. The next prime is 2210120051. The reversal of 2210120040 is 400210122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2210119998 and 2210120025.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57271 + ... + 87750.

It is an arithmetic number, because the mean of its divisors is an integer number (104415840).

Almost surely, 22210120040 is an apocalyptic number.

2210120040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210120040 is an abundant number, since it is smaller than the sum of its proper divisors (4472493720).

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

2210120040 is a wasteful number, since it uses less digits than its factorization.

2210120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145162 (or 145158 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2210120040 is about 47011.9138091612. The cubic root of 2210120040 is about 1302.5826448838.

Adding to 2210120040 its reverse (400210122), we get a palindrome (2610330162).

The spelling of 2210120040 in words is "two billion, two hundred ten million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 15240 145021 290042 435063 580084 725105 870126 1160168 1450210 1740252 2175315 2900420 3480504 4350630 5800840 8701260 17402520 18417667 36835334 55253001 73670668 92088335 110506002 147341336 184176670 221012004 276265005 368353340 442024008 552530010 736706680 1105060020 2210120040