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229546240 = 28571117137
BaseRepresentation
bin11011010111010…
…01100100000000
3120222221011020121
431223221210000
5432230434430
634435550024
75455053010
oct1553514400
9528834217
10229546240
11108633540
1264a5b314
13387308a1
14226b3c40
1515243a7a
hexdae9900

229546240 has 288 divisors, whose sum is σ = 731130624. Its totient is φ = 66846720.

The previous prime is 229546193. The next prime is 229546243. The reversal of 229546240 is 42645922.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 229546196 and 229546205.

It is not an unprimeable number, because it can be changed into a prime (229546243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675452 + ... + 1675588.

It is an arithmetic number, because the mean of its divisors is an integer number (2538648).

Almost surely, 2229546240 is an apocalyptic number.

229546240 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 229546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365565312).

229546240 is an abundant number, since it is smaller than the sum of its proper divisors (501584384).

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

229546240 is a wasteful number, since it uses less digits than its factorization.

229546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 229546240 is about 15150.7834780912. The cubic root of 229546240 is about 612.2893814222.

The spelling of 229546240 in words is "two hundred twenty-nine million, five hundred forty-six thousand, two hundred forty".