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226566214272 = 2732196672061
BaseRepresentation
bin1101001100000001100…
…1100001001010000000
3210122210210022012101100
43103000121201022000
512203001422324042
6252025540134400
722240344021516
oct3230031411200
9718723265340
10226566214272
11880a47a3192
1237ab0697400
131849918c2a8
14ad744864b6
155d608c024c
hex34c0661280

226566214272 has 48 divisors (see below), whose sum is σ = 651967885530. Its totient is φ = 75522071040.

The previous prime is 226566214247. The next prime is 226566214327. The reversal of 226566214272 is 272412665622.

It is a happy number.

226566214272 is a `hidden beast` number, since 2 + 2 + 6 + 566 + 2 + 14 + 2 + 72 = 666.

226566214272 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 only one way, i.e., 162589594176 + 63976620096 = 403224^2 + 252936^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 98334879 + ... + 98337182.

Almost surely, 2226566214272 is an apocalyptic number.

It is an amenable number.

226566214272 is an abundant number, since it is smaller than the sum of its proper divisors (425401671258).

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

226566214272 is a wasteful number, since it uses less digits than its factorization.

226566214272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196672081 (or 196672066 counting only the distinct ones).

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

Adding to 226566214272 its reverse (272412665622), we get a palindrome (498978879894).

The spelling of 226566214272 in words is "two hundred twenty-six billion, five hundred sixty-six million, two hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 196672061 393344122 590016183 786688244 1180032366 1573376488 1770048549 2360064732 3146752976 3540097098 4720129464 6293505952 7080194196 9440258928 12587011904 14160388392 18880517856 25174023808 28320776784 37761035712 56641553568 75522071424 113283107136 226566214272