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214995340 = 22572792777
BaseRepresentation
bin11001101000010…
…01000110001100
3112222112220011101
430310021012030
5420014322330
633200032444
75220300400
oct1464110614
9488486141
10214995340
111003a51aa
1260002724
13357077a1
14207a7100
1513d1c4ca
hexcd0918c

214995340 has 72 divisors (see below), whose sum is σ = 532042560. Its totient is φ = 72753408.

The previous prime is 214995307. The next prime is 214995397. The reversal of 214995340 is 43599412.

It is a self number, because there is not a number n which added to its sum of digits gives 214995340.

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 23 ways as a sum of consecutive naturals, for example, 76032 + ... + 78808.

It is an arithmetic number, because the mean of its divisors is an integer number (7389480).

Almost surely, 2214995340 is an apocalyptic number.

214995340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214995340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266021280).

214995340 is an abundant number, since it is smaller than the sum of its proper divisors (317047220).

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

214995340 is a wasteful number, since it uses less digits than its factorization.

214995340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 214995340 is about 14662.7193930730. The cubic root of 214995340 is about 599.0683132745.

The spelling of 214995340 in words is "two hundred fourteen million, nine hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 79 98 140 158 196 245 316 395 490 553 790 980 1106 1580 2212 2765 2777 3871 5530 5554 7742 11060 11108 13885 15484 19355 19439 27770 38710 38878 55540 77420 77756 97195 136073 194390 219383 272146 388780 438766 544292 680365 877532 1096915 1360730 1535681 2193830 2721460 3071362 4387660 6142724 7678405 10749767 15356810 21499534 30713620 42999068 53748835 107497670 214995340