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211929380 = 22513262701
BaseRepresentation
bin11001010000111…
…00100100100100
3112202210010110022
430220130210210
5413223220010
633010214312
75152240625
oct1450344444
9482703408
10211929380
11a96a0753
125ab84398
1334ba3100
1420209a4c
1513913d55
hexca1c924

211929380 has 36 divisors (see below), whose sum is σ = 481927572. Its totient is φ = 78249600.

The previous prime is 211929373. The next prime is 211929397. The reversal of 211929380 is 83929112.

211929380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 44382244 + 167547136 = 6662^2 + 12944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 211929380.

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 11 ways as a sum of consecutive naturals, for example, 27971 + ... + 34730.

It is an arithmetic number, because the mean of its divisors is an integer number (13386877).

Almost surely, 2211929380 is an apocalyptic number.

211929380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211929380 is an abundant number, since it is smaller than the sum of its proper divisors (269998192).

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

211929380 is a wasteful number, since it uses less digits than its factorization.

211929380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62736 (or 62721 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 211929380 is about 14557.7944758126. The cubic root of 211929380 is about 596.2069795957.

The spelling of 211929380 in words is "two hundred eleven million, nine hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 62701 125402 250804 313505 627010 815113 1254020 1630226 3260452 4075565 8151130 10596469 16302260 21192938 42385876 52982345 105964690 211929380