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82223445690 = 23257911564479
BaseRepresentation
bin100110010010011100…
…1100011011010111010
321212020021220211002100
41030210321203122322
52321343200230230
6101434541444230
75640400520361
oct1144471433272
9255207824070
1082223445690
1131963a9a801
1213b28570676
1379a4985059
143da019a7d8
1522137bc660
hex1324e636ba

82223445690 has 48 divisors (see below), whose sum is σ = 216487065600. Its totient is φ = 21648702816.

The previous prime is 82223445677. The next prime is 82223445691. The reversal of 82223445690 is 9654432228.

82223445690 is a `hidden beast` number, since 8 + 22 + 23 + 44 + 569 + 0 = 666.

It is a super-2 number, since 2×822234456902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82223445691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5775130 + ... + 5789349.

It is an arithmetic number, because the mean of its divisors is an integer number (4510147200).

Almost surely, 282223445690 is an apocalyptic number.

82223445690 is an abundant number, since it is smaller than the sum of its proper divisors (134263619910).

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

82223445690 is a wasteful number, since it uses less digits than its factorization.

82223445690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11564571 (or 11564568 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 82223445690 in words is "eighty-two billion, two hundred twenty-three million, four hundred forty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 3555 7110 11564479 23128958 34693437 57822395 69386874 104080311 115644790 173467185 208160622 346934370 520401555 913593841 1040803110 1827187682 2740781523 4567969205 5481563046 8222344569 9135938410 13703907615 16444689138 27407815230 41111722845 82223445690