[go: up one dir, main page]

Search a number
-
+
2206976 = 2837233
BaseRepresentation
bin1000011010110100000000
311011010101212
420122310000
51031110401
6115145252
724521222
oct10326400
94133355
102206976
111278152
128a5228
135c3705
14416412
152d8dbb
hex21ad00

2206976 has 36 divisors (see below), whose sum is σ = 4543812. Its totient is φ = 1069056.

The previous prime is 2206969. The next prime is 2206993. The reversal of 2206976 is 6796022.

It can be written as a sum of positive squares in 2 ways, for example, as 1254400 + 952576 = 1120^2 + 976^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9356 + ... + 9588.

It is an arithmetic number, because the mean of its divisors is an integer number (126217).

22206976 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 2206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271906).

2206976 is an abundant number, since it is smaller than the sum of its proper divisors (2336836).

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

2206976 is an equidigital number, since it uses as much as digits as its factorization.

2206976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 2206976 is about 1485.5894453045. The cubic root of 2206976 is about 130.1964682152.

The spelling of 2206976 in words is "two million, two hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 233 256 296 466 592 932 1184 1864 2368 3728 4736 7456 8621 9472 14912 17242 29824 34484 59648 68968 137936 275872 551744 1103488 2206976