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2212080 = 243513709
BaseRepresentation
bin1000011100000011110000
311011101101220
420130003300
51031241310
6115225040
724542133
oct10340360
94141356
102212080
111280a72
128a8180
135c5b30
1441821a
152da670
hex21c0f0

2212080 has 80 divisors (see below), whose sum is σ = 7395360. Its totient is φ = 543744.

The previous prime is 2212069. The next prime is 2212081. The reversal of 2212080 is 802122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212081) 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, 2766 + ... + 3474.

It is an arithmetic number, because the mean of its divisors is an integer number (92442).

22212080 is an apocalyptic number.

2212080 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 2212080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697680).

2212080 is an abundant number, since it is smaller than the sum of its proper divisors (5183280).

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

2212080 is a wasteful number, since it uses less digits than its factorization.

2212080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2212080 is about 1487.3062899080. The cubic root of 2212080 is about 130.2967579567.

The spelling of 2212080 in words is "two million, two hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 709 780 1040 1418 1560 2127 2836 3120 3545 4254 5672 7090 8508 9217 10635 11344 14180 17016 18434 21270 27651 28360 34032 36868 42540 46085 55302 56720 73736 85080 92170 110604 138255 147472 170160 184340 221208 276510 368680 442416 553020 737360 1106040 2212080