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214055250 = 23532312409
BaseRepresentation
bin11001100001000…
…11100101010010
3112220210010121020
430300203211102
5414244232000
633123540310
75206303533
oct1460434522
9486703536
10214055250
11aa912972
125b82a696
1335468916
142060068a
1513bd3ba0
hexcc23952

214055250 has 64 divisors (see below), whose sum is σ = 557556480. Its totient is φ = 54595200.

The previous prime is 214055243. The next prime is 214055251. The reversal of 214055250 is 52550412.

It is a happy number.

214055250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214055250.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214055251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11046 + ... + 23454.

It is an arithmetic number, because the mean of its divisors is an integer number (8711820).

Almost surely, 2214055250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214055250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278778240).

214055250 is an abundant number, since it is smaller than the sum of its proper divisors (343501230).

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

214055250 is a wasteful number, since it uses less digits than its factorization.

214055250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12452 (or 12442 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 214055250 is about 14630.6271225809. The cubic root of 214055250 is about 598.1938741935.

The spelling of 214055250 in words is "two hundred fourteen million, fifty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 125 138 150 230 250 345 375 575 690 750 1150 1725 2875 3450 5750 8625 12409 17250 24818 37227 62045 74454 124090 186135 285407 310225 372270 570814 620450 856221 930675 1427035 1551125 1712442 1861350 2854070 3102250 4281105 4653375 7135175 8562210 9306750 14270350 21405525 35675875 42811050 71351750 107027625 214055250