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228214533024 = 25332937246167
BaseRepresentation
bin1101010010001010100…
…1010110101110100000
3210211001122220110122000
43110202221112232200
512214340410024044
6252501301244000
722326240344532
oct3244251265640
9724048813560
10228214533024
1188870177495
1238290703600
131869c81212a
14b08d357852
155e0a465d69
hex3522a56ba0

228214533024 has 192 divisors, whose sum is σ = 707191430400. Its totient is φ = 71462974464.

The previous prime is 228214533011. The next prime is 228214533067. The reversal of 228214533024 is 420335412822.

228214533024 is a `hidden beast` number, since 2 + 282 + 1 + 45 + 330 + 2 + 4 = 666.

228214533024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 228214533024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803989 + ... + 1050155.

It is an arithmetic number, because the mean of its divisors is an integer number (3683288700).

Almost surely, 2228214533024 is an apocalyptic number.

228214533024 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 228214533024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353595715200).

228214533024 is an abundant number, since it is smaller than the sum of its proper divisors (478976897376).

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

228214533024 is a wasteful number, since it uses less digits than its factorization.

228214533024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246252 (or 246238 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 228214533024 its reverse (420335412822), we get a palindrome (648549945846).

The spelling of 228214533024 in words is "two hundred twenty-eight billion, two hundred fourteen million, five hundred thirty-three thousand, twenty-four".