Search a number
-
+
211417240 = 235431011217
BaseRepresentation
bin11001001100111…
…11100010011000
3112201211002221011
430212133202120
5413110322430
632551223304
75145005536
oct1446374230
9481732834
10211417240
11a93809a1
125a977b34
1334a53c78
1420115156
151386222a
hexc99f898

211417240 has 64 divisors (see below), whose sum is σ = 491974560. Its totient is φ = 81715200.

The previous prime is 211417229. The next prime is 211417243. The reversal of 211417240 is 42714112.

211417240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211417243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173112 + ... + 174328.

Almost surely, 2211417240 is an apocalyptic number.

211417240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211417240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245987280).

211417240 is an abundant number, since it is smaller than the sum of its proper divisors (280557320).

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

211417240 is a wasteful number, since it uses less digits than its factorization.

211417240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 211417240 is about 14540.1939464369. The cubic root of 211417240 is about 595.7263356317.

The spelling of 211417240 in words is "two hundred eleven million, four hundred seventeen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 101 172 202 215 344 404 430 505 808 860 1010 1217 1720 2020 2434 4040 4343 4868 6085 8686 9736 12170 17372 21715 24340 34744 43430 48680 52331 86860 104662 122917 173720 209324 245834 261655 418648 491668 523310 614585 983336 1046620 1229170 2093240 2458340 4916680 5285431 10570862 21141724 26427155 42283448 52854310 105708620 211417240