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2232512334 = 2331323313649
BaseRepresentation
bin1000010100010001…
…0110111101001110
312202120212101012000
42011010112331032
514033010343314
61005310253130
7106216020213
oct20504267516
95676771160
102232512334
11a46216618
125237b71a6
132976a6020
14172701b0a
15d0ee0209
hex85116f4e

2232512334 has 64 divisors (see below), whose sum is σ = 5366088000. Its totient is φ = 683928576.

The previous prime is 2232512329. The next prime is 2232512339. The reversal of 2232512334 is 4332152322.

2232512334 is a `hidden beast` number, since 2 + 2 + 325 + 1 + 2 + 334 = 666.

It is an interprime number because it is at equal distance from previous prime (2232512329) and next prime (2232512339).

It is a super-3 number, since 3×22325123343 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2232512298 and 2232512307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232512339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156742 + ... + 170390.

It is an arithmetic number, because the mean of its divisors is an integer number (83845125).

Almost surely, 22232512334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232512334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683044000).

2232512334 is an abundant number, since it is smaller than the sum of its proper divisors (3133575666).

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

2232512334 is a wasteful number, since it uses less digits than its factorization.

2232512334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13906 (or 13900 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 2232512334 is about 47249.4691398750. The cubic root of 2232512334 is about 1306.9670006598.

Adding to 2232512334 its reverse (4332152322), we get a palindrome (6564664656).

The spelling of 2232512334 in words is "two billion, two hundred thirty-two million, five hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 233 234 351 466 699 702 1398 2097 3029 4194 6058 6291 9087 12582 13649 18174 27261 27298 40947 54522 81783 81894 122841 163566 177437 245682 354874 368523 532311 737046 1064622 1596933 3180217 3193866 4790799 6360434 9540651 9581598 19081302 28621953 41342821 57243906 82685642 85865859 124028463 171731718 248056926 372085389 744170778 1116256167 2232512334