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212571018 = 232117115121
BaseRepresentation
bin11001010101110…
…01001110001010
3112210222201121200
430222321032022
5413404233033
633032045030
75160552402
oct1452711612
9483881550
10212571018
11a9a99830
125b233776
133506918a
1420335802
15139de013
hexcab938a

212571018 has 48 divisors (see below), whose sum is σ = 509550912. Its totient is φ = 63504000.

The previous prime is 212571017. The next prime is 212571049. The reversal of 212571018 is 810175212.

212571018 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212570982 and 212571000.

It is not an unprimeable number, because it can be changed into a prime (212571011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6498 + ... + 21618.

It is an arithmetic number, because the mean of its divisors is an integer number (10615644).

Almost surely, 2212571018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212571018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254775456).

212571018 is an abundant number, since it is smaller than the sum of its proper divisors (296979894).

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

212571018 is a wasteful number, since it uses less digits than its factorization.

212571018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15211 (or 15208 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 212571018 is about 14579.8154309305. The cubic root of 212571018 is about 596.8080660412.

The spelling of 212571018 in words is "two hundred twelve million, five hundred seventy-one thousand, eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1278 1562 2343 4686 7029 14058 15121 30242 45363 90726 136089 166331 272178 332662 498993 997986 1073591 1496979 2147182 2993958 3220773 6441546 9662319 11809501 19324638 23619002 35428503 70857006 106285509 212571018