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2231211132 = 2232891036761
BaseRepresentation
bin1000010011111101…
…1001010001111100
312202111102021021100
42010333121101330
514032142224012
61005222333100
7106201660503
oct20477312174
95674367240
102231211132
11a45507a47
1252328a190
1329733b997
1417248383a
15d0d348dc
hex84fd947c

2231211132 has 72 divisors (see below), whose sum is σ = 5759601120. Its totient is φ = 728133120.

The previous prime is 2231211127. The next prime is 2231211233. The reversal of 2231211132 is 2311121322.

It is a super-3 number, since 3×22312111323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326632 + ... + 333392.

It is an arithmetic number, because the mean of its divisors is an integer number (79994460).

Almost surely, 22231211132 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 2231211132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879800560).

2231211132 is an abundant number, since it is smaller than the sum of its proper divisors (3528389988).

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

2231211132 is a wasteful number, since it uses less digits than its factorization.

2231211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6963 (or 6958 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2231211132 is about 47235.6976448956. The cubic root of 2231211132 is about 1306.7130328831.

Adding to 2231211132 its reverse (2311121322), we get a palindrome (4542332454).

The spelling of 2231211132 in words is "two billion, two hundred thirty-one million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 103 178 206 267 309 356 412 534 618 801 927 1068 1236 1602 1854 3204 3708 6761 9167 13522 18334 20283 27044 27501 36668 40566 55002 60849 81132 82503 110004 121698 165006 243396 330012 601729 696383 1203458 1392766 1805187 2089149 2406916 2785532 3610374 4178298 5415561 6267447 7220748 8356596 10831122 12534894 21662244 25069788 61978087 123956174 185934261 247912348 371868522 557802783 743737044 1115605566 2231211132