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2232000331 = 117326910333
BaseRepresentation
bin1000010100001001…
…1001111101001011
312202112220100211221
42011002121331023
514032343002311
61005251302511
7106211455411
oct20502317513
95675810757
102232000331
11a459a6980
125235aaa37
13297556c72
1417260b2b1
15d0e3d671
hex85099f4b

2232000331 has 16 divisors (see below), whose sum is σ = 2477679840. Its totient is φ = 1993662720.

The previous prime is 2232000317. The next prime is 2232000359. The reversal of 2232000331 is 1330002322.

It is a cyclic number.

It is not a de Polignac number, because 2232000331 - 27 = 2232000203 is a prime.

It is a super-3 number, since 3×22320003313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2232000311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210841 + ... + 221173.

It is an arithmetic number, because the mean of its divisors is an integer number (154854990).

Almost surely, 22232000331 is an apocalyptic number.

2232000331 is a deficient number, since it is larger than the sum of its proper divisors (245679509).

2232000331 is a wasteful number, since it uses less digits than its factorization.

2232000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10686.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2232000331 is about 47244.0507471576. The cubic root of 2232000331 is about 1306.8670800192.

Adding to 2232000331 its reverse (1330002322), we get a palindrome (3562002653).

The spelling of 2232000331 in words is "two billion, two hundred thirty-two million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 11 73 269 803 2959 10333 19637 113663 216007 754309 2779577 8297399 30575347 202909121 2232000331