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229460040 = 233754361
BaseRepresentation
bin11011010110101…
…00100001001000
3120222202210000000
431223110201020
5432220210130
634434043000
75454243465
oct1553244110
9528683000
10229460040
111085847a7
1264a19460
1338700594
142269066c
1515228260
hexdad4848

229460040 has 256 divisors, whose sum is σ = 805305600. Its totient is φ = 58786560.

The previous prime is 229460039. The next prime is 229460041. The reversal of 229460040 is 40064922.

It is an interprime number because it is at equal distance from previous prime (229460039) and next prime (229460041).

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

It is a junction number, because it is equal to n+sod(n) for n = 229459986 and 229460013.

It is not an unprimeable number, because it can be changed into a prime (229460041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3761610 + ... + 3761670.

It is an arithmetic number, because the mean of its divisors is an integer number (3145725).

Almost surely, 2229460040 is an apocalyptic number.

229460040 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 229460040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402652800).

229460040 is an abundant number, since it is smaller than the sum of its proper divisors (575845560).

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

229460040 is an equidigital number, since it uses as much as digits as its factorization.

229460040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 229460040 is about 15147.9384736010. The cubic root of 229460040 is about 612.2127288159.

The spelling of 229460040 in words is "two hundred twenty-nine million, four hundred sixty thousand, forty".