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228643506450 = 23252225412
BaseRepresentation
bin1101010011110000110…
…1110000100100010010
3210212011120002120112200
43110330031300210102
512221230214201300
6253012023504030
722342666511112
oct3247415604422
9725146076480
10228643506450
1188a70331587
12383902b8016
131873a659368
14b0d0301042
155e32e4e200
hex353c370912

228643506450 has 54 divisors (see below), whose sum is σ = 614316140607. Its totient is φ = 60968896800.

The previous prime is 228643506433. The next prime is 228643506503. The reversal of 228643506450 is 54605346822.

228643506450 is a `hidden beast` number, since 22 + 86 + 4 + 3 + 506 + 45 + 0 = 666.

228643506450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 153077345001 + 75566161449 = 391251^2 + 274893^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338115.

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

It is a junction number, because it is equal to n+sod(n) for n = 228643506396 and 228643506405.

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 26 ways as a sum of consecutive naturals, for example, 10132180 + ... + 10154720.

Almost surely, 2228643506450 is an apocalyptic number.

228643506450 is an abundant number, since it is smaller than the sum of its proper divisors (385672634157).

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

228643506450 is an frugal number, since it uses more digits than its factorization.

228643506450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45100 (or 22551 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 228643506450 in words is "two hundred twenty-eight billion, six hundred forty-three million, five hundred six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 22541 45082 67623 112705 135246 202869 225410 338115 405738 563525 676230 1014345 1127050 1690575 2028690 3381150 5071725 10143450 508096681 1016193362 1524290043 2540483405 3048580086 4572870129 5080966810 7621450215 9145740258 12702417025 15242900430 22864350645 25404834050 38107251075 45728701290 76214502150 114321753225 228643506450