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229696 = 263797
BaseRepresentation
bin111000000101000000
3102200002021
4320011000
524322241
64531224
71644445
oct700500
9380067
10229696
11147635
12b0b14
138071c
145d9cc
15480d1
hex38140

229696 has 28 divisors (see below), whose sum is σ = 472948. Its totient is φ = 110592.

The previous prime is 229693. The next prime is 229699. The reversal of 229696 is 696922.

It is an interprime number because it is at equal distance from previous prime (229693) and next prime (229699).

It can be written as a sum of positive squares in 2 ways, for example, as 160000 + 69696 = 400^2 + 264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229693) by changing a digit.

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, 2320 + ... + 2416.

It is an arithmetic number, because the mean of its divisors is an integer number (16891).

2229696 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 229696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236474).

229696 is an abundant number, since it is smaller than the sum of its proper divisors (243252).

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

229696 is an equidigital number, since it uses as much as digits as its factorization.

229696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The square root of 229696 is about 479.2661056240. The cubic root of 229696 is about 61.2422508592.

It can be divided in two parts, 22 and 9696, that multiplied together give a palindrome (213312).

The spelling of 229696 in words is "two hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 97 148 194 296 388 592 776 1184 1552 2368 3104 3589 6208 7178 14356 28712 57424 114848 229696