Search a number
-
+
211052322 = 232135915287
BaseRepresentation
bin11001001010001…
…10011100100010
3112201010120100200
430211012130202
5413012133242
632535330030
75141625615
oct1445063442
9481116320
10211052322
11a9151808
125a820916
1334956b40
142005c17c
15137de04c
hexc946722

211052322 has 48 divisors (see below), whose sum is σ = 500834880. Its totient is φ = 63834336.

The previous prime is 211052311. The next prime is 211052341. The reversal of 211052322 is 223250112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211052295 and 211052304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6163 + ... + 21449.

It is an arithmetic number, because the mean of its divisors is an integer number (10434060).

Almost surely, 2211052322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211052322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250417440).

211052322 is an abundant number, since it is smaller than the sum of its proper divisors (289782558).

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

211052322 is a wasteful number, since it uses less digits than its factorization.

211052322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15367 (or 15364 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 211052322 is about 14527.6399322120. The cubic root of 211052322 is about 595.3833858964.

The spelling of 211052322 in words is "two hundred eleven million, fifty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 177 234 354 531 767 1062 1534 2301 4602 6903 13806 15287 30574 45861 91722 137583 198731 275166 397462 596193 901933 1192386 1788579 1803866 2705799 3577158 5411598 8117397 11725129 16234794 23450258 35175387 70350774 105526161 211052322