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229964 = 22743191
BaseRepresentation
bin111000001001001100
3102200110012
4320021030
524324324
64532352
71645310
oct701114
9380405
10229964
11147859
12b10b8
1380897
145db40
154820e
hex3824c

229964 has 24 divisors (see below), whose sum is σ = 473088. Its totient is φ = 95760.

The previous prime is 229963. The next prime is 229979. The reversal of 229964 is 469922.

Its product of digits (7776) is a multiple of the sum of its prime divisors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 229964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1109 + ... + 1299.

It is an arithmetic number, because the mean of its divisors is an integer number (19712).

2229964 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 229964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236544).

229964 is an abundant number, since it is smaller than the sum of its proper divisors (243124).

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

229964 is a wasteful number, since it uses less digits than its factorization.

229964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 243 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 229964 is about 479.5456182680. The cubic root of 229964 is about 61.2660599286.

The spelling of 229964 in words is "two hundred twenty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 43 86 172 191 301 382 602 764 1204 1337 2674 5348 8213 16426 32852 57491 114982 229964