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228305516450 = 25211261432
BaseRepresentation
bin1101010010100000010…
…0011011011110100010
3210211022000002220102112
43110220010123132202
512220032203011300
6252514311315322
722331423604404
oct3245004333642
9724260086375
10228305516450
118890756a700
12382b707bb42
13186b561988b
14b09b47cb74
155e13438e35
hex352811b7a2

228305516450 has 54 divisors (see below), whose sum is σ = 466838132817. Its totient is φ = 83006673200.

The previous prime is 228305516393. The next prime is 228305516479. The reversal of 228305516450 is 54615503822.

It can be written as a sum of positive squares in 2 ways, for example, as 223739406121 + 4566110329 = 473011^2 + 67573^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337865.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 228305516398 and 228305516407.

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, 37162079 + ... + 37168221.

Almost surely, 2228305516450 is an apocalyptic number.

228305516450 is an abundant number, since it is smaller than the sum of its proper divisors (238532616367).

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

228305516450 is an frugal number, since it uses more digits than its factorization.

228305516450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 228305516450 in words is "two hundred twenty-eight billion, three hundred five million, five hundred sixteen thousand, four hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 121 242 275 550 605 1210 3025 6050 6143 12286 30715 61430 67573 135146 153575 307150 337865 675730 743303 1486606 1689325 3378650 3716515 7433030 18582575 37165150 37736449 75472898 188682245 377364490 415100939 830201878 943411225 1886822450 2075504695 4151009390 4566110329 9132220658 10377523475 20755046950 22830551645 45661103290 114152758225 228305516450