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2182830 = 2351329193
BaseRepresentation
bin1000010100111010101110
311002220021120
420110322232
51024322310
6114441410
724360636
oct10247256
94086246
102182830
111260aa1
12893266
135b5720
1440b6c6
152d1b70
hex214eae

2182830 has 64 divisors (see below), whose sum is σ = 5866560. Its totient is φ = 516096.

The previous prime is 2182819. The next prime is 2182841. The reversal of 2182830 is 382812.

2182830 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 (2182819) and next prime (2182841).

It is a self number, because there is not a number n which added to its sum of digits gives 2182830.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11214 + ... + 11406.

It is an arithmetic number, because the mean of its divisors is an integer number (91665).

22182830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2182830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933280).

2182830 is an abundant number, since it is smaller than the sum of its proper divisors (3683730).

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

2182830 is a wasteful number, since it uses less digits than its factorization.

2182830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2182830 is about 1477.4403541260. The cubic root of 2182830 is about 129.7199097883.

The spelling of 2182830 in words is "two million, one hundred eighty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 193 195 290 377 386 390 435 579 754 870 965 1131 1158 1885 1930 2262 2509 2895 3770 5018 5597 5655 5790 7527 11194 11310 12545 15054 16791 25090 27985 33582 37635 55970 72761 75270 83955 145522 167910 218283 363805 436566 727610 1091415 2182830