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2164102223 = 19223713671
BaseRepresentation
bin1000000011111101…
…1001010001001111
312120211010210011012
42000333121101033
513413002232343
6554424115435
7104425364633
oct20077312117
95524123135
102164102223
11a10641038
12504905b7b
1328647307a
141675b4dc3
15c9eca718
hex80fd944f

2164102223 has 24 divisors (see below), whose sum is σ = 2417527296. Its totient is φ = 1932915600.

The previous prime is 2164102141. The next prime is 2164102229. The reversal of 2164102223 is 3222014612.

It is a happy number.

2164102223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2164102223 - 28 = 2164101967 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164102229) 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, 587678 + ... + 591348.

It is an arithmetic number, because the mean of its divisors is an integer number (100730304).

Almost surely, 22164102223 is an apocalyptic number.

2164102223 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2164102223 is a deficient number, since it is larger than the sum of its proper divisors (253425073).

2164102223 is a wasteful number, since it uses less digits than its factorization.

2164102223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2164102223 is about 46519.9121129866. The cubic root of 2164102223 is about 1293.4786272112.

Adding to 2164102223 its reverse (3222014612), we get a palindrome (5386116835).

The spelling of 2164102223 in words is "two billion, one hundred sixty-four million, one hundred two thousand, two hundred twenty-three".

Divisors: 1 19 23 71 361 437 1349 1633 3671 8303 25631 31027 69749 84433 260641 589513 1325231 1604227 4952179 5994743 30480313 94091401 113900117 2164102223