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82227231 = 3419232101
BaseRepresentation
bin1001110011010…
…11000000011111
312201201120120000
410321223000133
5132022232411
612054225343
72015630352
oct471530037
9181646500
1082227231
1142462599
1223655253
1314060088
14acc6299
157343956
hex4e6b01f

82227231 has 60 divisors (see below), whose sum is σ = 136502520. Its totient is φ = 49183200.

The previous prime is 82227217. The next prime is 82227239. The reversal of 82227231 is 13272228.

It is a happy number.

It is not a de Polignac number, because 82227231 - 25 = 82227199 is a prime.

It is a super-2 number, since 2×822272312 = 13522635035854722, which contains 22 as substring.

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 = 82227195 and 82227204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82227239) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 814081 + ... + 814181.

It is an arithmetic number, because the mean of its divisors is an integer number (2275042).

Almost surely, 282227231 is an apocalyptic number.

82227231 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82227231 is a deficient number, since it is larger than the sum of its proper divisors (54275289).

82227231 is a wasteful number, since it uses less digits than its factorization.

82227231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 146 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 82227231 is about 9067.9231911171. The cubic root of 82227231 is about 434.8490796310.

Adding to 82227231 its reverse (13272228), we get a palindrome (95499459).

The spelling of 82227231 in words is "eighty-two million, two hundred twenty-seven thousand, two hundred thirty-one".

Divisors: 1 3 9 19 23 27 57 69 81 101 171 207 303 437 513 529 621 909 1311 1539 1587 1863 1919 2323 2727 3933 4761 5757 6969 8181 10051 11799 14283 17271 20907 30153 35397 42849 44137 51813 53429 62721 90459 132411 155439 160287 188163 271377 397233 480861 814131 1015151 1191699 1442583 3045453 3575097 4327749 9136359 27409077 82227231