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25382214 = 233111319173
BaseRepresentation
bin110000011010…
…0110101000110
31202202112212000
41200310311012
522444212324
62304010130
7425513424
oct140646506
952675760
1025382214
1113367040
128600946
135349180
14352a114
1523659c9
hex1834d46

25382214 has 128 divisors (see below), whose sum is σ = 70156800. Its totient is φ = 6687360.

The previous prime is 25382191. The next prime is 25382243. The reversal of 25382214 is 41228352.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146632 + ... + 146804.

It is an arithmetic number, because the mean of its divisors is an integer number (548100).

Almost surely, 225382214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25382214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35078400).

25382214 is an abundant number, since it is smaller than the sum of its proper divisors (44774586).

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

25382214 is a wasteful number, since it uses less digits than its factorization.

25382214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 25382214 is about 5038.0764186344. The cubic root of 25382214 is about 293.8843776918.

The spelling of 25382214 in words is "twenty-five million, three hundred eighty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 27 33 38 39 54 57 66 78 99 114 117 143 171 173 198 209 234 247 286 297 342 346 351 418 429 494 513 519 594 627 702 741 858 1026 1038 1254 1287 1482 1557 1881 1903 2223 2249 2574 2717 3114 3287 3762 3806 3861 4446 4498 4671 5434 5643 5709 6574 6669 6747 7722 8151 9342 9861 11286 11418 13338 13494 16302 17127 19722 20241 24453 24739 29583 34254 36157 40482 42731 48906 49478 51381 59166 60723 72314 73359 74217 85462 88749 102762 108471 121446 128193 146718 148434 177498 216942 222651 256386 325413 384579 445302 470041 650826 667953 769158 940082 976239 1153737 1335906 1410123 1952478 2307474 2820246 4230369 8460738 12691107 25382214