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221092361 = 7217265417
BaseRepresentation
bin11010010110110…
…01101000001001
3120102000122200222
431023121220021
5423044423421
633534435425
75323153100
oct1513315011
9512018628
10221092361
11103889a66
1262062b75
1336a609a9
1421513037
1514623cab
hexd2d9a09

221092361 has 12 divisors (see below), whose sum is σ = 272318868. Its totient is φ = 178359552.

The previous prime is 221092349. The next prime is 221092409. The reversal of 221092361 is 163290122.

It can be written as a sum of positive squares in 2 ways, for example, as 160174336 + 60918025 = 12656^2 + 7805^2 .

It is a de Polignac number, because none of the positive numbers 2k-221092361 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221092361.

It is not an unprimeable number, because it can be changed into a prime (221092321) 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 11 ways as a sum of consecutive naturals, for example, 131876 + ... + 133541.

It is an arithmetic number, because the mean of its divisors is an integer number (22693239).

Almost surely, 2221092361 is an apocalyptic number.

It is an amenable number.

221092361 is a deficient number, since it is larger than the sum of its proper divisors (51226507).

221092361 is a wasteful number, since it uses less digits than its factorization.

221092361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265448 (or 265441 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 221092361 is about 14869.1748594197. The cubic root of 221092361 is about 604.6785725159.

The spelling of 221092361 in words is "two hundred twenty-one million, ninety-two thousand, three hundred sixty-one".

Divisors: 1 7 17 49 119 833 265417 1857919 4512089 13005433 31584623 221092361