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220044433230 = 2325171051136841
BaseRepresentation
bin1100110011101110101…
…0111001011101001110
3210000222021102101200100
43030323222321131032
512101122333330410
6245030443511530
721616622551566
oct3147352713516
9700867371610
10220044433230
11853583895a6
12367905285a6
1317999c8345b
14a916251da6
155acd06a8c0
hex333bab974e

220044433230 has 96 divisors (see below), whose sum is σ = 606350186208. Its totient is φ = 55173888000.

The previous prime is 220044433201. The next prime is 220044433237. The reversal of 220044433230 is 32334440022.

220044433230 is a `hidden beast` number, since 2 + 200 + 4 + 4 + 433 + 23 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 220044433194 and 220044433203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220044433237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1539610 + ... + 1676450.

It is an arithmetic number, because the mean of its divisors is an integer number (6316147773).

Almost surely, 2220044433230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220044433230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303175093104).

220044433230 is an abundant number, since it is smaller than the sum of its proper divisors (386305752978).

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

220044433230 is a wasteful number, since it uses less digits than its factorization.

220044433230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137922 (or 137919 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 220044433230 its reverse (32334440022), we get a palindrome (252378873252).

The spelling of 220044433230 in words is "two hundred twenty billion, forty-four million, four hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1051 1530 2102 3153 5255 6306 9459 10510 15765 17867 18918 31530 35734 47295 53601 89335 94590 107202 136841 160803 178670 268005 273682 321606 410523 536010 684205 804015 821046 1231569 1368410 1608030 2052615 2326297 2463138 4105230 4652594 6157845 6978891 11631485 12315690 13957782 20936673 23262970 34894455 41873346 69788910 104683365 143819891 209366730 287639782 431459673 719099455 862919346 1294379019 1438198910 2157298365 2444938147 2588758038 4314596730 4889876294 6471895095 7334814441 12224690735 12943790190 14669628882 22004443323 24449381470 36674072205 44008886646 73348144410 110022216615 220044433230