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80066224 = 247371392
BaseRepresentation
bin1001100010110…
…11011010110000
312120122210012201
410301123122300
5130444104344
611540032544
71661360140
oct461333260
9176583181
1080066224
1141216a37
1222992754
1313784584
14a8c2920
1570684d4
hex4c5b6b0

80066224 has 60 divisors (see below), whose sum is σ = 183400464. Its totient is φ = 33146496.

The previous prime is 80066219. The next prime is 80066293. The reversal of 80066224 is 42266008.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 80066192 and 80066201.

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 11 ways as a sum of consecutive naturals, for example, 575947 + ... + 576085.

Almost surely, 280066224 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 80066224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91700232).

80066224 is an abundant number, since it is smaller than the sum of its proper divisors (103334240).

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

80066224 is a wasteful number, since it uses less digits than its factorization.

80066224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 80066224 is about 8947.9731783237. The cubic root of 80066224 is about 431.0058012832.

The spelling of 80066224 in words is "eighty million, sixty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 139 148 259 278 296 518 556 592 973 1036 1112 1946 2072 2224 3892 4144 5143 7784 10286 15568 19321 20572 36001 38642 41144 72002 77284 82288 135247 144004 154568 270494 288008 309136 540988 576016 714877 1081976 1429754 2163952 2859508 5004139 5719016 10008278 11438032 20016556 40033112 80066224