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228541263732 = 223223276016019
BaseRepresentation
bin1101010011011000011…
…1101110111101110100
3210211220102201002220100
43110312013232331310
512221023030414412
6252553532234100
722340315455305
oct3246607567564
9724812632810
10228541263732
1188a18649071
123836200b930
131872240bb02
14b0c08c87ac
155e28ea4edc
hex35361eef74

228541263732 has 36 divisors (see below), whose sum is σ = 602818987680. Its totient is φ = 72868228752.

The previous prime is 228541263703. The next prime is 228541263737. The reversal of 228541263732 is 237362145822.

228541263732 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 4 + 1 + 2 + 637 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2285412637322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228541263737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138007182 + ... + 138008837.

It is an arithmetic number, because the mean of its divisors is an integer number (16744971880).

Almost surely, 2228541263732 is an apocalyptic number.

It is an amenable number.

228541263732 is an abundant number, since it is smaller than the sum of its proper divisors (374277723948).

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

228541263732 is a wasteful number, since it uses less digits than its factorization.

228541263732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276016052 (or 276016047 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 228541263732 in words is "two hundred twenty-eight billion, five hundred forty-one million, two hundred sixty-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 276016019 552032038 828048057 1104064076 1656096114 2484144171 3312192228 4968288342 6348368437 9936576684 12696736874 19045105311 25393473748 38090210622 57135315933 76180421244 114270631866 228541263732