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2215780 = 225731719
BaseRepresentation
bin1000011100111101100100
311011120110221
420130331210
51031401110
6115254124
724556000
oct10347544
94146427
102215780
111283826
128aa344
135c7718
14419700
152db7da
hex21cf64

2215780 has 96 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 677376.

The previous prime is 2215777. The next prime is 2215783. The reversal of 2215780 is 875122.

2215780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2215777) and next prime (2215783).

It is not an unprimeable number, because it can be changed into a prime (2215783) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 116611 + ... + 116629.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

22215780 is an apocalyptic number.

2215780 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 2215780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2215780 is an abundant number, since it is smaller than the sum of its proper divisors (3832220).

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

2215780 is a wasteful number, since it uses less digits than its factorization.

2215780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 2215780 is about 1488.5496296731. The cubic root of 2215780 is about 130.3693637490.

The spelling of 2215780 in words is "two million, two hundred fifteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 49 68 70 76 85 95 98 119 133 140 170 190 196 238 245 266 323 340 343 380 476 490 532 595 646 665 686 833 931 980 1190 1292 1330 1372 1615 1666 1715 1862 2261 2380 2660 3230 3332 3430 3724 4165 4522 4655 5831 6460 6517 6860 8330 9044 9310 11305 11662 13034 15827 16660 18620 22610 23324 26068 29155 31654 32585 45220 58310 63308 65170 79135 110789 116620 130340 158270 221578 316540 443156 553945 1107890 2215780