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214090980 = 22354382981
BaseRepresentation
bin11001100001011…
…00010011100100
3112220211221121120
430300230103210
5414301402410
633124413540
75206512645
oct1460542344
9486757546
10214090980
11aa9377a4
125b8472b0
133547bc6c
142060d6cc
1513bde570
hexcc2c4e4

214090980 has 48 divisors (see below), whose sum is σ = 613402944. Its totient is φ = 55762560.

The previous prime is 214090973. The next prime is 214091011. The reversal of 214090980 is 89090412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38911 + ... + 44070.

It is an arithmetic number, because the mean of its divisors is an integer number (12779228).

Almost surely, 2214090980 is an apocalyptic number.

214090980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214090980 is an abundant number, since it is smaller than the sum of its proper divisors (399311964).

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

214090980 is a wasteful number, since it uses less digits than its factorization.

214090980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83036 (or 83034 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 214090980 is about 14631.8481402726. The cubic root of 214090980 is about 598.2271557536.

The spelling of 214090980 in words is "two hundred fourteen million, ninety thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 82981 165962 248943 331924 414905 497886 829810 995772 1244715 1659620 2489430 3568183 4978860 7136366 10704549 14272732 17840915 21409098 35681830 42818196 53522745 71363660 107045490 214090980