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82226220 = 22352814877
BaseRepresentation
bin1001110011010…
…10110000101100
312201201112011120
410321222300230
5132022214340
612054220540
72015624406
oct471526054
9181645146
1082226220
114246185a
1223654750
131405c78b
14acc5b76
1573434d0
hex4e6ac2c

82226220 has 48 divisors (see below), whose sum is σ = 231100128. Its totient is φ = 21844480.

The previous prime is 82226189. The next prime is 82226227. The reversal of 82226220 is 2262228.

It is a super-2 number, since 2×822262202 = 13522302510976800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82226227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14422 + ... + 19298.

It is an arithmetic number, because the mean of its divisors is an integer number (4814586).

Almost surely, 282226220 is an apocalyptic number.

It is an amenable number.

82226220 is an abundant number, since it is smaller than the sum of its proper divisors (148873908).

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

82226220 is a wasteful number, since it uses less digits than its factorization.

82226220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 82226220 is about 9067.8674449950. The cubic root of 82226220 is about 434.8472974386.

Adding to 82226220 its reverse (2262228), we get a palindrome (84488448).

The spelling of 82226220 in words is "eighty-two million, two hundred twenty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 281 562 843 1124 1405 1686 2810 3372 4215 4877 5620 8430 9754 14631 16860 19508 24385 29262 48770 58524 73155 97540 146310 292620 1370437 2740874 4111311 5481748 6852185 8222622 13704370 16445244 20556555 27408740 41113110 82226220