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82200000 = 26355137
BaseRepresentation
bin1001110011001…
…00010111000000
312201200012012110
410321210113000
5132020400000
612053455320
72015455101
oct471442700
9181605173
1082200000
1142444093
1223641540
131405086c
14acba3a8
15733a850
hex4e645c0

82200000 has 168 divisors, whose sum is σ = 273826224. Its totient is φ = 21760000.

The previous prime is 82199993. The next prime is 82200059. The reversal of 82200000 is 228.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599932 + ... + 600068.

It is an arithmetic number, because the mean of its divisors is an integer number (1629918).

Almost surely, 282200000 is an apocalyptic number.

82200000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136913112).

82200000 is an abundant number, since it is smaller than the sum of its proper divisors (191626224).

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

82200000 is an equidigital number, since it uses as much as digits as its factorization.

82200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 82200000 is about 9066.4215653145. The cubic root of 82200000 is about 434.8010716797.

Adding to 82200000 its reverse (228), we get a palindrome (82200228).

The spelling of 82200000 in words is "eighty-two million, two hundred thousand".