Search a number
-
+
2210205152 = 25533174111
BaseRepresentation
bin1000001110111101…
…0000110111100000
312201000220001111002
42003233100313200
514011303031102
61003152211132
7105525301541
oct20357206740
95630801432
102210205152
11a3466a931
12518239aa8
13292b956cc
1416d7764c8
15ce085902
hex83bd0de0

2210205152 has 48 divisors (see below), whose sum is σ = 4448509632. Its totient is φ = 1080568320.

The previous prime is 2210205143. The next prime is 2210205157. The reversal of 2210205152 is 2515020122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210205157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535577 + ... + 539687.

It is an arithmetic number, because the mean of its divisors is an integer number (92677284).

Almost surely, 22210205152 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 2210205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224254816).

2210205152 is an abundant number, since it is smaller than the sum of its proper divisors (2238304480).

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

2210205152 is a wasteful number, since it uses less digits than its factorization.

2210205152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2210205152 is about 47012.8190177956. The cubic root of 2210205152 is about 1302.5993655428.

Adding to 2210205152 its reverse (2515020122), we get a palindrome (4725225274).

The spelling of 2210205152 in words is "two billion, two hundred ten million, two hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 106 212 317 424 634 848 1268 1696 2536 4111 5072 8222 10144 16444 16801 32888 33602 65776 67204 131552 134408 217883 268816 435766 537632 871532 1303187 1743064 2606374 3486128 5212748 6972256 10425496 20850992 41701984 69068911 138137822 276275644 552551288 1105102576 2210205152