Search a number
-
+
2631222 = 2321197137
BaseRepresentation
bin1010000010011000110110
311221200100200
422002120312
51133144342
6132221330
731236126
oct12023066
94850320
102631222
111537970
12a6a846
13711849
144c6c86
1536e94c
hex282636

2631222 has 48 divisors (see below), whose sum is σ = 6329232. Its totient is φ = 783360.

The previous prime is 2631221. The next prime is 2631241. The reversal of 2631222 is 2221362.

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 d-powerful number, because it can be written as 25 + 62 + 312 + 1 + 29 + 211 + 221 .

It is a junction number, because it is equal to n+sod(n) for n = 2631195 and 2631204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2631221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19138 + ... + 19274.

It is an arithmetic number, because the mean of its divisors is an integer number (131859).

22631222 is an apocalyptic number.

2631222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164616).

2631222 is an abundant number, since it is smaller than the sum of its proper divisors (3698010).

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

2631222 is a wasteful number, since it uses less digits than its factorization.

2631222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 250 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 2631222 is about 1622.1041890088. The cubic root of 2631222 is about 138.0551134620.

Adding to 2631222 its reverse (2221362), we get a palindrome (4852584).

It can be divided in two parts, 263 and 1222, that added together give a triangular number (1485 = T54).

The spelling of 2631222 in words is "two million, six hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 137 194 198 274 291 411 582 822 873 1067 1233 1507 1746 2134 2466 3014 3201 4521 6402 9042 9603 13289 13563 19206 26578 27126 39867 79734 119601 146179 239202 292358 438537 877074 1315611 2631222