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32213230014 = 23723163204583
BaseRepresentation
bin11110000000000011…
…101110000110111110
310002010222212122012010
4132000003232012332
51011433041330024
622444253152050
72220162636330
oct360003560676
9102128778163
1032213230014
111273058a549
1262b018b626
133064a79564
1417b836b450
15c880aab29
hex7800ee1be

32213230014 has 64 divisors (see below), whose sum is σ = 77303291904. Its totient is φ = 8749562976.

The previous prime is 32213230003. The next prime is 32213230061. The reversal of 32213230014 is 41003231223.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 55167 + ... + 259749.

It is an arithmetic number, because the mean of its divisors is an integer number (1207863936).

Almost surely, 232213230014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32213230014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38651645952).

32213230014 is an abundant number, since it is smaller than the sum of its proper divisors (45090061890).

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

32213230014 is a wasteful number, since it uses less digits than its factorization.

32213230014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204781.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32213230014 its reverse (41003231223), we get a palindrome (73216461237).

The spelling of 32213230014 in words is "thirty-two billion, two hundred thirteen million, two hundred thirty thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 163 322 326 483 489 966 978 1141 2282 3423 3749 6846 7498 11247 22494 26243 52486 78729 157458 204583 409166 613749 1227498 1432081 2864162 4296243 4705409 8592486 9410818 14116227 28232454 32937863 33347029 65875726 66694058 98813589 100041087 197627178 200082174 233429203 466858406 700287609 766981667 1400575218 1533963334 2300945001 4601890002 5368871669 10737743338 16106615007 32213230014