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2105523324 = 2232596311571
BaseRepresentation
bin111110101111111…
…1011110001111100
312102201220200000100
41331133323301330
513303003221244
6544532401100
7103114436652
oct17537736174
95381820010
102105523324
11990570923
124a9176190
132772a2bb8
1415d8c6dd2
15c4ca8b69
hex7d7fbc7c

2105523324 has 72 divisors (see below), whose sum is σ = 5424531840. Its totient is φ = 688413600.

The previous prime is 2105523311. The next prime is 2105523331. The reversal of 2105523324 is 4233255012.

It is a happy number.

2105523324 is a `hidden beast` number, since 2 + 105 + 523 + 32 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1339459 + ... + 1341029.

It is an arithmetic number, because the mean of its divisors is an integer number (75340720).

Almost surely, 22105523324 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 2105523324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712265920).

2105523324 is an abundant number, since it is smaller than the sum of its proper divisors (3319008516).

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

2105523324 is a wasteful number, since it uses less digits than its factorization.

2105523324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2105523324 is about 45885.9817809317. The cubic root of 2105523324 is about 1281.7008890521.

Adding to 2105523324 its reverse (4233255012), we get a palindrome (6338778336).

The spelling of 2105523324 in words is "two billion, one hundred five million, five hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 631 708 1062 1262 1571 1893 2124 2524 3142 3786 4713 5679 6284 7572 9426 11358 14139 18852 22716 28278 37229 56556 74458 92689 111687 148916 185378 223374 278067 335061 370756 446748 556134 670122 834201 991301 1112268 1340244 1668402 1982602 2973903 3336804 3965204 5947806 8921709 11895612 17843418 35686836 58486759 116973518 175460277 233947036 350920554 526380831 701841108 1052761662 2105523324