Search a number
-
+
214514454 = 237211113587
BaseRepresentation
bin11001100100100…
…11101100010110
3112221122110111210
430302103230112
5414403430304
633141442250
75213225400
oct1462235426
9487573453
10214514454
111000a6980
125ba10386
133559993b
14206bdb70
1513c74c89
hexcc93b16

214514454 has 96 divisors (see below), whose sum is σ = 550198656. Its totient is φ = 55130880.

The previous prime is 214514453. The next prime is 214514471. The reversal of 214514454 is 454415412.

214514454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214514453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365149 + ... + 365735.

It is an arithmetic number, because the mean of its divisors is an integer number (5731236).

Almost surely, 2214514454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214514454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275099328).

214514454 is an abundant number, since it is smaller than the sum of its proper divisors (335684202).

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

214514454 is a wasteful number, since it uses less digits than its factorization.

214514454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 723 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 214514454 is about 14646.3119589882. The cubic root of 214514454 is about 598.6213289812.

Adding to 214514454 its reverse (454415412), we get a palindrome (668929866).

The spelling of 214514454 in words is "two hundred fourteen million, five hundred fourteen thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 113 147 154 226 231 294 339 462 539 587 678 791 1078 1174 1243 1582 1617 1761 2373 2486 3234 3522 3729 4109 4746 5537 6457 7458 8218 8701 11074 12327 12914 16611 17402 19371 24654 26103 28763 33222 38742 45199 52206 57526 60907 66331 86289 90398 121814 132662 135597 172578 182721 198993 271194 316393 365442 397986 464317 632786 729641 928634 949179 1392951 1459282 1898358 2188923 2785902 3250219 4377846 5107487 6500438 9750657 10214974 15322461 19501314 30644922 35752409 71504818 107257227 214514454