Search a number
-
+
229971240 = 233251753709
BaseRepresentation
bin11011011010100…
…01010100101000
3121000201202020100
431231101110220
5432333034430
634453025400
75461503042
oct1555212450
9530652210
10229971240
111088a3884
1265025260
133884c175
1422784a92
15152c9960
hexdb51528

229971240 has 192 divisors, whose sum is σ = 807440400. Its totient is φ = 56549376.

The previous prime is 229971239. The next prime is 229971251. The reversal of 229971240 is 42179922.

It can be written as a sum of positive squares in 8 ways, for example, as 111640356 + 118330884 = 10566^2 + 10878^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 229971195 and 229971204.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 324006 + ... + 324714.

Almost surely, 2229971240 is an apocalyptic number.

229971240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229971240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403720200).

229971240 is an abundant number, since it is smaller than the sum of its proper divisors (577469160).

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

229971240 is a wasteful number, since it uses less digits than its factorization.

229971240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 229971240 is about 15164.8026693393. The cubic root of 229971240 is about 612.6670287217.

The spelling of 229971240 in words is "two hundred twenty-nine million, nine hundred seventy-one thousand, two hundred forty".