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230445475272 = 233214921480749
BaseRepresentation
bin1101011010011110011…
…1101110010111001000
3211000211010211002001200
43112213213232113020
512233423020202042
6253510514144200
722435440135405
oct3264747562710
9730733732050
10230445475272
1189805510411
12387b3882060
1318966a885bc
14b22176b2ac
155edb245c4c
hex35a79ee5c8

230445475272 has 48 divisors (see below), whose sum is σ = 628311937500. Its totient is φ = 76299616896.

The previous prime is 230445475261. The next prime is 230445475291. The reversal of 230445475272 is 272574544032.

230445475272 is a `hidden beast` number, since 2 + 30 + 4 + 4 + 547 + 5 + 2 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 207821103876 + 22624371396 = 455874^2 + 150414^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10729647 + ... + 10751102.

Almost surely, 2230445475272 is an apocalyptic number.

It is an amenable number.

230445475272 is an abundant number, since it is smaller than the sum of its proper divisors (397866462228).

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

230445475272 is a wasteful number, since it uses less digits than its factorization.

230445475272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21480910 (or 21480903 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 45.

The spelling of 230445475272 in words is "two hundred thirty billion, four hundred forty-five million, four hundred seventy-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 5364 10728 21480749 42961498 64442247 85922996 128884494 171845992 193326741 257768988 386653482 515537976 773306964 1546613928 3200631601 6401263202 9601894803 12802526404 19203789606 25605052808 28805684409 38407579212 57611368818 76815158424 115222737636 230445475272