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228827491776 = 26331341594211
BaseRepresentation
bin1101010100011100101…
…1100110110111000000
3210212122101021222222000
43111013023212313000
512222114314214101
6253042155144000
722350362405352
oct3250713466700
9725571258860
10228827491776
1189055176474
1238421a45000
13187697c7210
14b10a9150d2
155e44193486
hex35472e6dc0

228827491776 has 448 divisors, whose sum is σ = 754884748800. Its totient is φ = 67510886400.

The previous prime is 228827491759. The next prime is 228827491801. The reversal of 228827491776 is 677194728822.

228827491776 is a `hidden beast` number, since 2 + 288 + 274 + 9 + 17 + 76 = 666.

228827491776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54338311 + ... + 54342521.

It is an arithmetic number, because the mean of its divisors is an integer number (1685010600).

Almost surely, 2228827491776 is an apocalyptic number.

228827491776 is a gapful number since it is divisible by the number (26) 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 228827491776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377442374400).

228827491776 is an abundant number, since it is smaller than the sum of its proper divisors (526057257024).

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

228827491776 is a wasteful number, since it uses less digits than its factorization.

228827491776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4329 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 63.

The spelling of 228827491776 in words is "two hundred twenty-eight billion, eight hundred twenty-seven million, four hundred ninety-one thousand, seven hundred seventy-six".