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229882240 = 275723297
BaseRepresentation
bin11011011001110…
…11100110000000
3121000120020011001
431230323212000
5432322212430
634451101344
75460652420
oct1554734600
9530506131
10229882240
11108842a25
1264ba1854
133881a7c3
1422760480
15152ad3ca
hexdb3b980

229882240 has 192 divisors, whose sum is σ = 663334560. Its totient is φ = 74612736.

The previous prime is 229882229. The next prime is 229882277. The reversal of 229882240 is 42288922.

229882240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 229882240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2369872 + ... + 2369968.

Almost surely, 2229882240 is an apocalyptic number.

229882240 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 229882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331667280).

229882240 is an abundant number, since it is smaller than the sum of its proper divisors (433452320).

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

229882240 is an equidigital number, since it uses as much as digits as its factorization.

229882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 229882240 is about 15161.8679587972. The cubic root of 229882240 is about 612.5879834736.

The spelling of 229882240 in words is "two hundred twenty-nine million, eight hundred eighty-two thousand, two hundred forty".