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2225963 = 17235693
BaseRepresentation
bin1000011111011100101011
311012002110002
420133130223
51032212323
6115413215
724630455
oct10373453
94162402
102225963
111290443
128b420b
135cc24c
1441d2d5
152de828
hex21f72b

2225963 has 8 divisors (see below), whose sum is σ = 2459808. Its totient is φ = 2003584.

The previous prime is 2225959. The next prime is 2225969. The reversal of 2225963 is 3695222.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2225963 - 22 = 2225959 is a prime.

It is a super-2 number, since 2×22259632 = 9909822554738, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 28 + 216 + 221 + 56 + 9 + 66 + 36 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2225969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2456 + ... + 3237.

It is an arithmetic number, because the mean of its divisors is an integer number (307476).

22225963 is an apocalyptic number.

2225963 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2225963 is a deficient number, since it is larger than the sum of its proper divisors (233845).

2225963 is a wasteful number, since it uses less digits than its factorization.

2225963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5733.

The product of its digits is 6480, while the sum is 29.

The square root of 2225963 is about 1491.9661524311. The cubic root of 2225963 is about 130.5687702399.

It can be divided in two parts, 22259 and 63, that added together give a palindrome (22322).

The spelling of 2225963 in words is "two million, two hundred twenty-five thousand, nine hundred sixty-three".

Divisors: 1 17 23 391 5693 96781 130939 2225963