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249013212 = 2237171031693
BaseRepresentation
bin11101101011110…
…10001111011100
3122100120011220120
432311322033130
51002221410322
640413114540
76112402020
oct1665721734
9570504816
10249013212
1111861a348
126b488a50
133c7884c6
1425100380
1516cdba5c
hexed7a3dc

249013212 has 96 divisors (see below), whose sum is σ = 710341632. Its totient is φ = 66272256.

The previous prime is 249013201. The next prime is 249013223. The reversal of 249013212 is 212310942.

249013212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249013201) and next prime (249013223).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146238 + ... + 147930.

It is an arithmetic number, because the mean of its divisors is an integer number (7399392).

Almost surely, 2249013212 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 249013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355170816).

249013212 is an abundant number, since it is smaller than the sum of its proper divisors (461328420).

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

249013212 is a wasteful number, since it uses less digits than its factorization.

249013212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 249013212 is about 15780.1524707463. The cubic root of 249013212 is about 629.1305820355.

The spelling of 249013212 in words is "two hundred forty-nine million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 103 119 204 206 238 309 357 412 476 618 714 721 1236 1428 1442 1693 1751 2163 2884 3386 3502 4326 5079 5253 6772 7004 8652 10158 10506 11851 12257 20316 21012 23702 24514 28781 35553 36771 47404 49028 57562 71106 73542 86343 115124 142212 147084 172686 174379 201467 345372 348758 402934 523137 604401 697516 805868 1046274 1208802 1220653 2092548 2417604 2441306 2964443 3661959 4882612 5928886 7323918 8893329 11857772 14647836 17786658 20751101 35573316 41502202 62253303 83004404 124506606 249013212