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229454064 = 243272311049
BaseRepresentation
bin11011010110100…
…11000011110000
3120222202110210200
431223103003300
5432220012224
634433555200
75454220200
oct1553230360
9528673720
10229454064
11108580264
1264a15b00
13386ca948
142268c400
15152265c9
hexdad30f0

229454064 has 180 divisors, whose sum is σ = 771825600. Its totient is φ = 63383040.

The previous prime is 229454059. The next prime is 229454077. The reversal of 229454064 is 460454922.

229454064 is a `hidden beast` number, since 22 + 94 + 540 + 6 + 4 = 666.

229454064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2294540642 = 105298334972232192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 218212 + ... + 219260.

It is an arithmetic number, because the mean of its divisors is an integer number (4287920).

Almost surely, 2229454064 is an apocalyptic number.

229454064 is a gapful number since it is divisible by the number (24) 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 229454064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385912800).

229454064 is an abundant number, since it is smaller than the sum of its proper divisors (542371536).

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

229454064 is a wasteful number, since it uses less digits than its factorization.

229454064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 229454064 is about 15147.7412177526. The cubic root of 229454064 is about 612.2074139979.

The spelling of 229454064 in words is "two hundred twenty-nine million, four hundred fifty-four thousand, sixty-four".