Search a number
-
+
2205696 = 2113359
BaseRepresentation
bin1000011010100000000000
311011001122110
420122200000
51031040241
6115135320
724514413
oct10324000
94131573
102205696
111277199
128a4540
135c2c5c
14415b7a
152d8816
hex21a800

2205696 has 48 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 733184.

The previous prime is 2205667. The next prime is 2205703. The reversal of 2205696 is 6965022.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5965 + ... + 6323.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

22205696 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 2205696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

2205696 is an abundant number, since it is smaller than the sum of its proper divisors (3691104).

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

2205696 is an equidigital number, since it uses as much as digits as its factorization.

2205696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2205696 is about 1485.1585773917. The cubic root of 2205696 is about 130.1712929365.

The spelling of 2205696 in words is "two million, two hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 359 384 512 718 768 1024 1077 1436 1536 2048 2154 2872 3072 4308 5744 6144 8616 11488 17232 22976 34464 45952 68928 91904 137856 183808 275712 367616 551424 735232 1102848 2205696