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214493101956 = 223272110272
BaseRepresentation
bin1100011111000011001…
…0001111111110000100
3202111122101121112210100
43013300302033332010
512003240213230311
6242311535324100
721332224166400
oct3076062177604
9674571545710
10214493101956
1182a69845211
12356a1380630
13172c3b39453
14a54ac76100
1558a5a0ba56
hex31f0c8ff84

214493101956 has 81 divisors (see below), whose sum is σ = 630769061559. Its totient is φ = 61278185808.

The previous prime is 214493101937. The next prime is 214493101957. The reversal of 214493101956 is 659101394412.

The square root of 214493101956 is 463134.

It is a perfect power (a square), and thus also a powerful number.

214493101956 is a `hidden beast` number, since 2 + 1 + 4 + 493 + 101 + 9 + 56 = 666.

It is a super-2 number, since 2×2144931019562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214493101957) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19446115 + ... + 19457141.

Almost surely, 2214493101956 is an apocalyptic number.

214493101956 is the 463134-th square number.

It is an amenable number.

214493101956 is an abundant number, since it is smaller than the sum of its proper divisors (416275959603).

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

214493101956 is an equidigital number, since it uses as much as digits as its factorization.

214493101956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22078 (or 11039 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 214493101956 in words is "two hundred fourteen billion, four hundred ninety-three million, one hundred one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 11027 22054 33081 44108 66162 77189 99243 132324 154378 198486 231567 308756 396972 463134 540323 694701 926268 1080646 1389402 1620969 2161292 2778804 3241938 4862907 6483876 9725814 19451628 121594729 243189458 364784187 486378916 729568374 851163103 1094352561 1459136748 1702326206 2188705122 2553489309 3404652412 4377410244 5106978618 5958141721 7660467927 10213957236 11916283442 15320935854 17874425163 23832566884 30641871708 35748850326 53623275489 71497700652 107246550978 214493101956