Search a number
-
+
211203132 = 22372715059
BaseRepresentation
bin11001001011010…
…11010000111100
3112201102020020020
430211223100330
5413032000012
632542452140
75143124400
oct1445532074
9481366206
10211203132
11a9245048
125a894050
13349aa68a
142009b100
151381da8c
hexc96b43c

211203132 has 72 divisors (see below), whose sum is σ = 581454720. Its totient is φ = 59482080.

The previous prime is 211203119. The next prime is 211203137. The reversal of 211203132 is 231302112.

211203132 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 (211203137) 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, 39219 + ... + 44277.

It is an arithmetic number, because the mean of its divisors is an integer number (8075760).

Almost surely, 2211203132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211203132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290727360).

211203132 is an abundant number, since it is smaller than the sum of its proper divisors (370251588).

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

211203132 is a wasteful number, since it uses less digits than its factorization.

211203132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 211203132 is about 14532.8294560970. The cubic root of 211203132 is about 595.5251649416.

Adding to 211203132 its reverse (231302112), we get a palindrome (442505244).

The spelling of 211203132 in words is "two hundred eleven million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 284 294 426 497 588 852 994 1491 1988 2982 3479 5059 5964 6958 10118 10437 13916 15177 20236 20874 30354 35413 41748 60708 70826 106239 141652 212478 247891 359189 424956 495782 718378 743673 991564 1077567 1436756 1487346 2155134 2514323 2974692 4310268 5028646 7542969 10057292 15085938 17600261 30171876 35200522 52800783 70401044 105601566 211203132