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2193046592 = 26112283193
BaseRepresentation
bin1000001010110111…
…0011110001000000
312122211121022100212
42002231303301000
513442404442332
61001340333252
7105226405562
oct20255636100
95584538325
102193046592
11a25a10400
12512544228
1328c468709
1416b38b332
15cc7e68b2
hex82b73c40

2193046592 has 42 divisors (see below), whose sum is σ = 4783429854. Its totient is φ = 996835840.

The previous prime is 2193046591. The next prime is 2193046601. The reversal of 2193046592 is 2956403912.

It can be written as a sum of positive squares in only one way, i.e., 2191737856 + 1308736 = 46816^2 + 1144^2 .

It is not an unprimeable number, because it can be changed into a prime (2193046591) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 133853 + ... + 149340.

It is an arithmetic number, because the mean of its divisors is an integer number (113891187).

Almost surely, 22193046592 is an apocalyptic number.

2193046592 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2193046592 is an abundant number, since it is smaller than the sum of its proper divisors (2590383262).

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

2193046592 is a wasteful number, since it uses less digits than its factorization.

2193046592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283227 (or 283206 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 2193046592 is about 46829.9753576702. The cubic root of 2193046592 is about 1299.2197669224.

The spelling of 2193046592 in words is "two billion, one hundred ninety-three million, forty-six thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 283193 566386 1132772 2265544 3115123 4531088 6230246 9062176 12460492 18124352 24920984 34266353 49841968 68532706 99683936 137065412 199367872 274130824 548261648 1096523296 2193046592