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229985280 = 21032572331
BaseRepresentation
bin11011011010101…
…00110000000000
3121000202110111100
431231110300000
5432334012110
634453214400
75461562010
oct1555246000
9530673440
10229985280
11108903388
1265031400
1338855685
1422789c40
15152cdbc0
hexdb54c00

229985280 has 528 divisors, whose sum is σ = 980987904. Its totient is φ = 48660480.

The previous prime is 229985267. The next prime is 229985389. The reversal of 229985280 is 82589922.

229985280 is a `hidden beast` number, since 2 + 299 + 85 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7418865 + ... + 7418895.

Almost surely, 2229985280 is an apocalyptic number.

229985280 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 229985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490493952).

229985280 is an abundant number, since it is smaller than the sum of its proper divisors (751002624).

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

229985280 is a wasteful number, since it uses less digits than its factorization.

229985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 229985280 is about 15165.2655763096. The cubic root of 229985280 is about 612.6794964692.

The spelling of 229985280 in words is "two hundred twenty-nine million, nine hundred eighty-five thousand, two hundred eighty".