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229640832 = 273623107
BaseRepresentation
bin11011011000000…
…00101010000000
3121000002222000000
431230000222000
5432242001312
634442000000
75455625541
oct1554005200
9530088000
10229640832
11108698613
1264aa6000
1338764965
14226da4c8
1515261adc
hexdb00a80

229640832 has 224 divisors, whose sum is σ = 722429280. Its totient is φ = 72534528.

The previous prime is 229640813. The next prime is 229640843. The reversal of 229640832 is 238046922.

229640832 is a `hidden beast` number, since 2 + 2 + 9 + 640 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2146123 + ... + 2146229.

Almost surely, 2229640832 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 229640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361214640).

229640832 is an abundant number, since it is smaller than the sum of its proper divisors (492788448).

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

229640832 is an equidigital number, since it uses as much as digits as its factorization.

229640832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 229640832 is about 15153.9048433069. The cubic root of 229640832 is about 612.3734744621.

The spelling of 229640832 in words is "two hundred twenty-nine million, six hundred forty thousand, eight hundred thirty-two".