Search a number
-
+
2199456 = 253271091
BaseRepresentation
bin1000011000111110100000
311010202002100
420120332200
51030340311
6115050400
724460260
oct10307640
94122070
102199456
111272536
128a0a00
135c016c
144137a0
152d6a56
hex218fa0

2199456 has 72 divisors (see below), whose sum is σ = 7154784. Its totient is φ = 627840.

The previous prime is 2199433. The next prime is 2199479. The reversal of 2199456 is 6549912.

It is an interprime number because it is at equal distance from previous prime (2199433) and next prime (2199479).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a d-powerful number, because it can be written as 221 + 1 + 9 + 9 + 47 + 57 + 65 .

It is a self number, because there is not a number n which added to its sum of digits gives 2199456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1471 + ... + 2561.

It is an arithmetic number, because the mean of its divisors is an integer number (99372).

22199456 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 2199456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577392).

2199456 is an abundant number, since it is smaller than the sum of its proper divisors (4955328).

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

2199456 is a wasteful number, since it uses less digits than its factorization.

2199456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1103 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 2199456 is about 1483.0563037188. The cubic root of 2199456 is about 130.0484237750.

The spelling of 2199456 in words is "two million, one hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1091 2016 2182 3273 4364 6546 7637 8728 9819 13092 15274 17456 19638 22911 26184 30548 34912 39276 45822 52368 61096 68733 78552 91644 104736 122192 137466 157104 183288 244384 274932 314208 366576 549864 733152 1099728 2199456