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220406163030 = 232519206962297
BaseRepresentation
bin1100110101000100111…
…0110010011001010110
3210001220111002011200100
43031101032302121112
512102342434204110
6245130404554530
721631604321454
oct3152116623126
9701814064610
10220406163030
1185523595549
12368716b2a46
1317a26bb5661
14a94c2d39d4
155aeebbebc0
hex33513b2656

220406163030 has 96 divisors (see below), whose sum is σ = 603518104800. Its totient is φ = 55653751296.

The previous prime is 220406163017. The next prime is 220406163031. The reversal of 220406163030 is 30361604022.

220406163030 is a `hidden beast` number, since 2 + 2 + 0 + 40 + 616 + 3 + 0 + 3 + 0 = 666.

220406163030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220406162985 and 220406163003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220406163031) 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 47 ways as a sum of consecutive naturals, for example, 3506842 + ... + 3569138.

It is an arithmetic number, because the mean of its divisors is an integer number (6286646925).

Almost surely, 2220406163030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220406163030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301759052400).

220406163030 is an abundant number, since it is smaller than the sum of its proper divisors (383111941770).

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

220406163030 is a wasteful number, since it uses less digits than its factorization.

220406163030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64398 (or 64395 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 220406163030 its reverse (30361604022), we get a palindrome (250767767052).

The spelling of 220406163030 in words is "two hundred twenty billion, four hundred six million, one hundred sixty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 2069 4138 6207 10345 12414 18621 20690 31035 37242 39311 62070 62297 78622 93105 117933 124594 186210 186891 196555 235866 311485 353799 373782 393110 560673 589665 622970 707598 934455 1121346 1179330 1183643 1768995 1868910 2367286 2803365 3537990 3550929 5606730 5918215 7101858 10652787 11836430 17754645 21305574 35509290 53263935 106527870 128892493 257784986 386677479 644462465 773354958 1160032437 1288924930 1933387395 2320064874 2448957367 3866774790 4897914734 5800162185 7346872101 11600324370 12244786835 14693744202 22040616303 24489573670 36734360505 44081232606 73468721010 110203081515 220406163030