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2182896 = 243331163
BaseRepresentation
bin1000010100111011110000
311002220101000
420110323300
51024323041
6114442000
724361062
oct10247360
94086330
102182896
111261051
12893300
135b5771
1440b732
152d1bb6
hex214ef0

2182896 has 80 divisors (see below), whose sum is σ = 6507520. Its totient is φ = 699840.

The previous prime is 2182877. The next prime is 2182897. The reversal of 2182896 is 6982812.

2182896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2182896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182897) 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, 13311 + ... + 13473.

It is an arithmetic number, because the mean of its divisors is an integer number (81344).

22182896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2182896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253760).

2182896 is an abundant number, since it is smaller than the sum of its proper divisors (4324624).

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

2182896 is a wasteful number, since it uses less digits than its factorization.

2182896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2182896 is about 1477.4626898842. The cubic root of 2182896 is about 129.7212171779.

The spelling of 2182896 in words is "two million, one hundred eighty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 163 186 216 248 279 326 372 432 489 496 558 652 744 837 978 1116 1304 1467 1488 1674 1956 2232 2608 2934 3348 3912 4401 4464 5053 5868 6696 7824 8802 10106 11736 13392 15159 17604 20212 23472 30318 35208 40424 45477 60636 70416 80848 90954 121272 136431 181908 242544 272862 363816 545724 727632 1091448 2182896