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223230022000 = 2453244745613
BaseRepresentation
bin1100111111100110001…
…0111101000101110000
3210100012021200001221121
43033321202331011300
512124133341201000
6250314522032024
722061563610446
oct3177142750560
9710167601847
10223230022000
1186742589597
123731b348614
1318086c4761b
14ab39368b96
155c17a6db1a
hex33f98bd170

223230022000 has 80 divisors (see below), whose sum is σ = 540002616192. Its totient is φ = 89253561600.

The previous prime is 223230021953. The next prime is 223230022009. The reversal of 223230022000 is 220032322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2232300220003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223230022009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4871194 + ... + 4916806.

Almost surely, 2223230022000 is an apocalyptic number.

223230022000 is a gapful number since it is divisible by the number (20) 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 223230022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270001308096).

223230022000 is an abundant number, since it is smaller than the sum of its proper divisors (316772594192).

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

223230022000 is a wasteful number, since it uses less digits than its factorization.

223230022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48083 (or 48067 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 223230022000 its reverse (220032322), we get a palindrome (223450054322).

The spelling of 223230022000 in words is "two hundred twenty-three billion, two hundred thirty million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2447 4894 9788 12235 19576 24470 39152 45613 48940 61175 91226 97880 122350 182452 195760 228065 244700 305875 364904 456130 489400 611750 729808 912260 978800 1140325 1223500 1824520 2280650 2447000 3649040 4561300 4894000 5701625 9122600 11403250 18245200 22806500 45613000 91226000 111615011 223230022 446460044 558075055 892920088 1116150110 1785840176 2232300220 2790375275 4464600440 5580750550 8929200880 11161501100 13951876375 22323002200 27903752750 44646004400 55807505500 111615011000 223230022000