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250228564416 = 2634331145829
BaseRepresentation
bin1110100100001011001…
…0001110000111000000
3212220212212012010120000
43221002302032013000
513044432003030131
6310541534320000
724035616463215
oct3510262160700
9786785163500
10250228564416
1197137557066
12405b5059000
131a79a5378cc
14c17ad0bb0c
156797e16ce6
hex3a42c8e1c0

250228564416 has 140 divisors (see below), whose sum is σ = 744001910520. Its totient is φ = 83156958720.

The previous prime is 250228564373. The next prime is 250228564433. The reversal of 250228564416 is 614465822052.

250228564416 is a `hidden beast` number, since 2 + 5 + 0 + 228 + 5 + 6 + 4 + 416 = 666.

It is a super-2 number, since 2×2502285644162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1642990 + ... + 1788818.

Almost surely, 2250228564416 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 250228564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372000955260).

250228564416 is an abundant number, since it is smaller than the sum of its proper divisors (493773346104).

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

250228564416 is a wasteful number, since it uses less digits than its factorization.

250228564416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146184 (or 146165 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 250228564416 in words is "two hundred fifty billion, two hundred twenty-eight million, five hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 331 432 576 648 662 864 993 1296 1324 1728 1986 2592 2648 2979 3972 5184 5296 5958 7944 8937 10592 11916 15888 17874 21184 23832 26811 31776 35748 47664 53622 63552 71496 95328 107244 142992 145829 190656 214488 285984 291658 428976 437487 571968 583316 857952 874974 1166632 1312461 1715904 1749948 2333264 2624922 3499896 3937383 4666528 5249844 6999792 7874766 9333056 10499688 11812149 13999584 15749532 20999376 23624298 27999168 31499064 41998752 47248596 48269399 62998128 83997504 94497192 96538798 125996256 144808197 188994384 193077596 251992512 289616394 377988768 386155192 434424591 579232788 755977536 772310384 868849182 1158465576 1303273773 1544620768 1737698364 2316931152 2606547546 3089241536 3475396728 3909821319 4633862304 5213095092 6950793456 7819642638 9267724608 10426190184 13901586912 15639285276 20852380368 27803173824 31278570552 41704760736 62557141104 83409521472 125114282208 250228564416