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250212096 = 2832131829
BaseRepresentation
bin11101110100111…
…10111100000000
3122102211002110200
432322132330000
51003023241341
640454525200
76125524221
oct1672367400
9572732420
10250212096
11119269062
126b966800
133cab80c4
1425333248
1516e76db6
hexee9ef00

250212096 has 108 divisors (see below), whose sum is σ = 727807080. Its totient is φ = 82667520.

The previous prime is 250212071. The next prime is 250212113. The reversal of 250212096 is 690212052.

250212096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301410 + ... + 302238.

Almost surely, 2250212096 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 250212096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363903540).

250212096 is an abundant number, since it is smaller than the sum of its proper divisors (477594984).

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

250212096 is a wasteful number, since it uses less digits than its factorization.

250212096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 250212096 is about 15818.0939433296. The cubic root of 250212096 is about 630.1386240681.

The spelling of 250212096 in words is "two hundred fifty million, two hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 256 262 288 384 393 524 576 768 786 829 1048 1152 1179 1572 1658 2096 2304 2358 2487 3144 3316 4192 4716 4974 6288 6632 7461 8384 9432 9948 12576 13264 14922 16768 18864 19896 25152 26528 29844 33536 37728 39792 50304 53056 59688 75456 79584 100608 106112 108599 119376 150912 159168 212224 217198 238752 301824 318336 325797 434396 477504 636672 651594 868792 955008 977391 1303188 1737584 1910016 1954782 2606376 3475168 3909564 5212752 6950336 7819128 10425504 13900672 15638256 20851008 27801344 31276512 41702016 62553024 83404032 125106048 250212096