Search a number
-
+
2210253011 = 172353106657
BaseRepresentation
bin1000001110111101…
…1100100011010011
312201000222111010122
42003233130203103
514011311044021
61003153220455
7105525561221
oct20357344323
95630874118
102210253011
11a346a288a
1251826172b
13292bb1425
1416d789b11
15ce094bab
hex83bdc8d3

2210253011 has 16 divisors (see below), whose sum is σ = 2488117824. Its totient is φ = 1952231424.

The previous prime is 2210252999. The next prime is 2210253013. The reversal of 2210253011 is 1103520122.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2210253011 is a prime.

It is a super-2 number, since 2×22102530112 = 9770436745269132242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2210253013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32606 + ... + 74051.

It is an arithmetic number, because the mean of its divisors is an integer number (155507364).

Almost surely, 22210253011 is an apocalyptic number.

2210253011 is a deficient number, since it is larger than the sum of its proper divisors (277864813).

2210253011 is a wasteful number, since it uses less digits than its factorization.

2210253011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106750.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2210253011 is about 47013.3280145109. The cubic root of 2210253011 is about 1302.6087674835.

Adding to 2210253011 its reverse (1103520122), we get a palindrome (3313773133).

The spelling of 2210253011 in words is "two billion, two hundred ten million, two hundred fifty-three thousand, eleven".

Divisors: 1 17 23 53 391 901 1219 20723 106657 1813169 2453111 5652821 41702887 96097957 130014883 2210253011