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420222442200 = 233521163670067
BaseRepresentation
bin1100001110101110011…
…01011001101011011000
31111011200000122212120120
412013113031121223120
523341103421122300
6521014133153240
742234334552311
oct6072715315330
91434600585516
10420222442200
11152240682550
126953778b820
133081c12a182
14164a5c2d608
15ade6e533a0
hex61d7359ad8

420222442200 has 96 divisors (see below), whose sum is σ = 1421115917760. Its totient is φ = 101872105600.

The previous prime is 420222442193. The next prime is 420222442201. The reversal of 420222442200 is 2244222024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420222442201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31828434 + ... + 31841633.

It is an arithmetic number, because the mean of its divisors is an integer number (14803290810).

Almost surely, 2420222442200 is an apocalyptic number.

420222442200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420222442200 is an abundant number, since it is smaller than the sum of its proper divisors (1000893475560).

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

420222442200 is a wasteful number, since it uses less digits than its factorization.

420222442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63670097 (or 63670088 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 420222442200 its reverse (2244222024), we get a palindrome (422466664224).

It can be divided in two parts, 4202224 and 42200, that added together give a palindrome (4244424).

The spelling of 420222442200 in words is "four hundred twenty billion, two hundred twenty-two million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 63670067 127340134 191010201 254680268 318350335 382020402 509360536 636700670 700370737 764040804 955051005 1273401340 1400741474 1528081608 1591751675 1910102010 2101112211 2546802680 2801482948 3183503350 3501853685 3820204020 4202224422 4775255025 5602965896 6367006700 7003707370 7640408040 8404448844 9550510050 10505561055 12734013400 14007414740 16808897688 17509268425 19101020100 21011122110 28014829480 35018536850 38202040200 42022244220 52527805275 70037073700 84044488440 105055610550 140074147400 210111221100 420222442200