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216271608 = 23371996469
BaseRepresentation
bin11001110010000…
…00101011111000
3120001221201212120
430321000223320
5420331142413
633243241240
75234164320
oct1471005370
9501851776
10216271608
11101097073
1260519220
1335a63687
1420a1a280
1513ec0723
hexce40af8

216271608 has 64 divisors (see below), whose sum is σ = 621120000. Its totient is φ = 61471872.

The previous prime is 216271543. The next prime is 216271619. The reversal of 216271608 is 806172612.

It is a congruent number.

It is an unprimeable number.

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, 30198 + ... + 36666.

It is an arithmetic number, because the mean of its divisors is an integer number (9705000).

Almost surely, 2216271608 is an apocalyptic number.

216271608 is a gapful number since it is divisible by the number (28) 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 216271608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310560000).

216271608 is an abundant number, since it is smaller than the sum of its proper divisors (404848392).

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

216271608 is a wasteful number, since it uses less digits than its factorization.

216271608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 6680 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 216271608 is about 14706.1758455419. The cubic root of 216271608 is about 600.2513835514.

The spelling of 216271608 in words is "two hundred sixteen million, two hundred seventy-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 597 796 1194 1393 1592 2388 2786 4179 4776 5572 6469 8358 11144 12938 16716 19407 25876 33432 38814 45283 51752 77628 90566 135849 155256 181132 271698 362264 543396 1086792 1287331 2574662 3861993 5149324 7723986 9011317 10298648 15447972 18022634 27033951 30895944 36045268 54067902 72090536 108135804 216271608