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216821682 = 232711156437
BaseRepresentation
bin11001110110001…
…10111110110010
3120002222200102200
430323012332302
5421001243212
633303124030
75241645120
oct1473067662
9502880380
10216821682
11101432380
1260743616
1335bc6b6c
1420b20910
151407d6dc
hexcec6fb2

216821682 has 48 divisors (see below), whose sum is σ = 585703872. Its totient is φ = 56316960.

The previous prime is 216821681. The next prime is 216821687. The reversal of 216821682 is 286128612.

It is not an unprimeable number, because it can be changed into a prime (216821681) by changing a digit.

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, 76833 + ... + 79604.

It is an arithmetic number, because the mean of its divisors is an integer number (12202164).

Almost surely, 2216821682 is an apocalyptic number.

216821682 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

216821682 is an abundant number, since it is smaller than the sum of its proper divisors (368882190).

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

216821682 is a wasteful number, since it uses less digits than its factorization.

216821682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156463 (or 156460 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 216821682 is about 14724.8661114456. The cubic root of 216821682 is about 600.7598539637.

The spelling of 216821682 in words is "two hundred sixteen million, eight hundred twenty-one thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 156437 312874 469311 938622 1095059 1407933 1720807 2190118 2815866 3285177 3441614 5162421 6570354 9855531 10324842 12045649 15487263 19711062 24091298 30974526 36136947 72273894 108410841 216821682