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2144856 = 233717751
BaseRepresentation
bin1000001011101001011000
311000222012010
420023221120
51022113411
6113545520
724142140
oct10135130
94028163
102144856
11123550a
128752a0
135a135c
143db920
152c57a6
hex20ba58

2144856 has 64 divisors (see below), whose sum is σ = 6497280. Its totient is φ = 576000.

The previous prime is 2144843. The next prime is 2144867. The reversal of 2144856 is 6584412.

It is a super-3 number, since 3×21448563 = 29601633346899522048, which contains 333 as substring.

It is a d-powerful number, because it can be written as 2 + 1 + 42 + 45 + 87 + 5 + 66 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2481 + ... + 3231.

It is an arithmetic number, because the mean of its divisors is an integer number (101520).

22144856 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 2144856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248640).

2144856 is an abundant number, since it is smaller than the sum of its proper divisors (4352424).

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

2144856 is a wasteful number, since it uses less digits than its factorization.

2144856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 2144856 is about 1464.5326899732. The cubic root of 2144856 is about 128.9632730011.

The spelling of 2144856 in words is "two million, one hundred forty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 751 952 1428 1502 2253 2856 3004 4506 5257 6008 9012 10514 12767 15771 18024 21028 25534 31542 38301 42056 51068 63084 76602 89369 102136 126168 153204 178738 268107 306408 357476 536214 714952 1072428 2144856