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224211965456 = 2476918222689
BaseRepresentation
bin1101000011010000010…
…0110001011000010000
3210102201201100222010202
43100310010301120100
512133141230343311
6251000200314332
722125116155403
oct3206404613020
9712651328122
10224211965456
11870a689a206
12375541729a8
13181b2501b5b
14abcd935d3a
155c73d84e3b
hex3434131610

224211965456 has 20 divisors (see below), whose sum is σ = 434975610300. Its totient is φ = 111960195072.

The previous prime is 224211965449. The next prime is 224211965473. The reversal of 224211965456 is 654569112422.

It can be written as a sum of positive squares in 2 ways, for example, as 24706809856 + 199505155600 = 157184^2 + 446660^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 224211965456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9099041 + ... + 9123648.

It is an arithmetic number, because the mean of its divisors is an integer number (21748780515).

Almost surely, 2224211965456 is an apocalyptic number.

It is an amenable number.

224211965456 is a deficient number, since it is larger than the sum of its proper divisors (210763644844).

224211965456 is a wasteful number, since it uses less digits than its factorization.

224211965456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18223466 (or 18223460 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 47.

The spelling of 224211965456 in words is "two hundred twenty-four billion, two hundred eleven million, nine hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 769 1538 3076 6152 12304 18222689 36445378 72890756 145781512 291563024 14013247841 28026495682 56052991364 112105982728 224211965456