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2220960 = 25357661
BaseRepresentation
bin1000011110001110100000
311011211120210
420132032200
51032032320
6115334120
724610050
oct10361640
94154523
102220960
111287705
128b1340
135c9ba1
1441b560
152dd0e0
hex21e3a0

2220960 has 96 divisors (see below), whose sum is σ = 8007552. Its totient is φ = 506880.

The previous prime is 2220941. The next prime is 2220961. The reversal of 2220960 is 690222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2220961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3030 + ... + 3690.

It is an arithmetic number, because the mean of its divisors is an integer number (83412).

22220960 is an apocalyptic number.

2220960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003776).

2220960 is an abundant number, since it is smaller than the sum of its proper divisors (5786592).

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

2220960 is a wasteful number, since it uses less digits than its factorization.

2220960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2220960 is about 1490.2885626616. The cubic root of 2220960 is about 130.4708761949.

The spelling of 2220960 in words is "two million, two hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 661 672 840 1120 1322 1680 1983 2644 3305 3360 3966 4627 5288 6610 7932 9254 9915 10576 13220 13881 15864 18508 19830 21152 23135 26440 27762 31728 37016 39660 46270 52880 55524 63456 69405 74032 79320 92540 105760 111048 138810 148064 158640 185080 222096 277620 317280 370160 444192 555240 740320 1110480 2220960