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2232132426 = 2321938317041
BaseRepresentation
bin1000010100001011…
…1010001101001010
312202120011002001100
42011002322031022
514032411214201
61005254202230
7106212545466
oct20502721512
95676132040
102232132426
11a45a87147
12523653376
132975a2124
141726434a6
15d0e67886
hex850ba34a

2232132426 has 48 divisors (see below), whose sum is σ = 5104419840. Its totient is φ = 703002240.

The previous prime is 2232132379. The next prime is 2232132431. The reversal of 2232132426 is 6242312322.

It is a happy number.

2232132426 is a `hidden beast` number, since 2 + 23 + 213 + 2 + 426 = 666.

It is a super-3 number, since 3×22321324263 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2232132426.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122466 + ... + 139506.

It is an arithmetic number, because the mean of its divisors is an integer number (106342080).

Almost surely, 22232132426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232132426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552209920).

2232132426 is an abundant number, since it is smaller than the sum of its proper divisors (2872287414).

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

2232132426 is a wasteful number, since it uses less digits than its factorization.

2232132426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17451 (or 17448 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2232132426 is about 47245.4487331849. The cubic root of 2232132426 is about 1306.8928606608.

Adding to 2232132426 its reverse (6242312322), we get a palindrome (8474444748).

The spelling of 2232132426 in words is "two billion, two hundred thirty-two million, one hundred thirty-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 383 766 1149 2298 3447 6894 7277 14554 17041 21831 34082 43662 51123 65493 102246 130986 153369 306738 323779 647558 971337 1942674 2914011 5828022 6526703 13053406 19580109 39160218 58740327 117480654 124007357 248014714 372022071 744044142 1116066213 2232132426