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216110272 = 2672571877
BaseRepresentation
bin11001110000110…
…01010011000000
3120001122112120011
430320121103000
5420311012042
633235554304
75232623050
oct1470312300
9501575504
10216110272
11100a96934
126045b994
1335a08101
14209b7560
1513e8ca17
hexce194c0

216110272 has 56 divisors (see below), whose sum is σ = 492276384. Its totient is φ = 92209152.

The previous prime is 216110263. The next prime is 216110281. The reversal of 216110272 is 272011612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (216110263) and next prime (216110281).

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 114198 + ... + 116074.

Almost surely, 2216110272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216110272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246138192).

216110272 is an abundant number, since it is smaller than the sum of its proper divisors (276166112).

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

216110272 is a wasteful number, since it uses less digits than its factorization.

216110272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 216110272 is about 14700.6895076387. The cubic root of 216110272 is about 600.1020863334.

Adding to 216110272 its reverse (272011612), we get a palindrome (488121884).

The spelling of 216110272 in words is "two hundred sixteen million, one hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 257 448 514 1028 1799 1877 2056 3598 3754 4112 7196 7508 8224 13139 14392 15016 16448 26278 28784 30032 52556 57568 60064 105112 115136 120128 210224 420448 482389 840896 964778 1929556 3376723 3859112 6753446 7718224 13506892 15436448 27013784 30872896 54027568 108055136 216110272