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211557005 = 5112893929
BaseRepresentation
bin11001001110000…
…01101010001101
3112202002012122122
430213001222031
5413124311010
632554222325
75146130162
oct1447015215
9482065578
10211557005
11a9466a00
125aa249a5
1334aa277a
1420150069
151388d855
hexc9c1a8d

211557005 has 24 divisors (see below), whose sum is σ = 282252600. Its totient is φ = 152092160.

The previous prime is 211556999. The next prime is 211557019. The reversal of 211557005 is 500755112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 407044 + 211149961 = 638^2 + 14531^2 .

It is not a de Polignac number, because 211557005 - 26 = 211556941 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51881 + ... + 55809.

It is an arithmetic number, because the mean of its divisors is an integer number (11760525).

Almost surely, 2211557005 is an apocalyptic number.

It is an amenable number.

211557005 is a deficient number, since it is larger than the sum of its proper divisors (70695595).

211557005 is a wasteful number, since it uses less digits than its factorization.

211557005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 26.

The square root of 211557005 is about 14544.9993124785. Note that the first 3 decimals coincide. The cubic root of 211557005 is about 595.8575821821.

The spelling of 211557005 in words is "two hundred eleven million, five hundred fifty-seven thousand, five".

Divisors: 1 5 11 55 89 121 445 605 979 3929 4895 10769 19645 43219 53845 216095 349681 475409 1748405 2377045 3846491 19232455 42311401 211557005