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211053438 = 23410112899
BaseRepresentation
bin11001001010001…
…10101101111110
3112201010121220000
430211012231332
5413012202223
632535335130
75141632101
oct1445065576
9481117800
10211053438
11a9152632
125a8214a6
13349574bb
142005c738
15137de543
hexc946b7e

211053438 has 40 divisors (see below), whose sum is σ = 477635400. Its totient is φ = 69649200.

The previous prime is 211053433. The next prime is 211053449. The reversal of 211053438 is 834350112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211053433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9913 + ... + 22811.

It is an arithmetic number, because the mean of its divisors is an integer number (11940885).

Almost surely, 2211053438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211053438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238817700).

211053438 is an abundant number, since it is smaller than the sum of its proper divisors (266581962).

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

211053438 is a wasteful number, since it uses less digits than its factorization.

211053438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13014 (or 13005 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 211053438 is about 14527.6783417035. The cubic root of 211053438 is about 595.3844353149.

The spelling of 211053438 in words is "two hundred eleven million, fifty-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1818 2727 5454 8181 12899 16362 25798 38697 77394 116091 232182 348273 696546 1044819 1302799 2089638 2605598 3908397 7816794 11725191 23450382 35175573 70351146 105526719 211053438