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249997212 = 223319235297
BaseRepresentation
bin11101110011010…
…10011110011100
3122102102011201000
432321222132130
51002444402322
640450150300
76123640563
oct1671523634
9572364630
10249997212
11119131673
126b882390
133ca4135a
14252b8bda
1516e333ac
hexee6a79c

249997212 has 96 divisors (see below), whose sum is σ = 712051200. Its totient is φ = 75499776.

The previous prime is 249997211. The next prime is 249997217. The reversal of 249997212 is 212799942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249997211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44548 + ... + 49844.

It is an arithmetic number, because the mean of its divisors is an integer number (7417200).

Almost surely, 2249997212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249997212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356025600).

249997212 is an abundant number, since it is smaller than the sum of its proper divisors (462053988).

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

249997212 is a wasteful number, since it uses less digits than its factorization.

249997212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5344 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 249997212 is about 15811.3001362949. The cubic root of 249997212 is about 629.9581831655.

The spelling of 249997212 in words is "two hundred forty-nine million, nine hundred ninety-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 92 108 114 138 171 207 228 276 342 414 437 513 621 684 828 874 1026 1242 1311 1748 2052 2484 2622 3933 5244 5297 7866 10594 11799 15732 15891 21188 23598 31782 47196 47673 63564 95346 100643 121831 143019 190692 201286 243662 286038 301929 365493 402572 487324 572076 603858 730986 905787 1096479 1207716 1461972 1811574 2192958 2314789 2717361 3289437 3623148 4385916 4629578 5434722 6578874 6944367 9259156 10869444 13157748 13888734 20833101 27777468 41666202 62499303 83332404 124998606 249997212