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249093122 = 22931241109
BaseRepresentation
bin11101101100011…
…01110000000010
3122100201020112012
432312031300002
51002231434442
640414532522
76113154005
oct1666156002
9570636465
10249093122
11118674393
126b507142
133c7b59a5
142512153c
1516d05582
hexed8dc02

249093122 has 48 divisors (see below), whose sum is σ = 412889400. Its totient is φ = 112492800.

The previous prime is 249093107. The next prime is 249093133. The reversal of 249093122 is 221390942.

249093122 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 4 ways, for example, as 178516321 + 70576801 = 13361^2 + 8401^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 2285204 + ... + 2285312.

Almost surely, 2249093122 is an apocalyptic number.

249093122 is a deficient number, since it is larger than the sum of its proper divisors (163796278).

249093122 is a wasteful number, since it uses less digits than its factorization.

249093122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 249093122 is about 15782.6842457169. The cubic root of 249093122 is about 629.1978722375.

The spelling of 249093122 in words is "two hundred forty-nine million, ninety-three thousand, one hundred twenty-two".

Divisors: 1 2 29 31 41 58 62 82 109 218 899 961 1189 1271 1798 1922 2378 2542 3161 3379 4469 6322 6758 8938 27869 36859 39401 55738 73718 78802 97991 104749 129601 138539 195982 209498 259202 277078 1142629 2285258 3037721 4017631 4294709 6075442 8035262 8589418 124546561 249093122