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229932 = 22332129
BaseRepresentation
bin111000001000101100
3102200102000
4320020230
524324212
64532300
71645233
oct701054
9380360
10229932
1114782a
12b1090
1380871
145db1a
15481dc
hex3822c

229932 has 24 divisors (see below), whose sum is σ = 596400. Its totient is φ = 76608.

The previous prime is 229903. The next prime is 229937. The reversal of 229932 is 239922.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 229896 and 229905.

It is not an unprimeable number, because it can be changed into a prime (229937) 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, 957 + ... + 1172.

It is an arithmetic number, because the mean of its divisors is an integer number (24850).

2229932 is an apocalyptic number.

It is an amenable number.

229932 is an abundant number, since it is smaller than the sum of its proper divisors (366468).

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

229932 is a wasteful number, since it uses less digits than its factorization.

229932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2134 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 229932 is about 479.5122521897. The cubic root of 229932 is about 61.2632180275.

The spelling of 229932 in words is "two hundred twenty-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2129 4258 6387 8516 12774 19161 25548 38322 57483 76644 114966 229932