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22212302220 = 2233555773849
BaseRepresentation
bin10100101011111101…
…001101010110001100
32010100000100212101000
4110223331031112030
5330442322132340
614112034420300
71414304311413
oct245375152614
963300325330
1022212302220
1194692a1469
12437aa31690
13212cb259c4
14110a04647a
158a00b7d30
hex52bf4d58c

22212302220 has 96 divisors (see below), whose sum is σ = 69229944000. Its totient is φ = 5912566272.

The previous prime is 22212302219. The next prime is 22212302227. The reversal of 22212302220 is 2220321222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22212302193 and 22212302202.

It is not an unprimeable number, because it can be changed into a prime (22212302227) 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 31 ways as a sum of consecutive naturals, for example, 263856 + ... + 337704.

It is an arithmetic number, because the mean of its divisors is an integer number (721145250).

Almost surely, 222212302220 is an apocalyptic number.

22212302220 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 22212302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34614972000).

22212302220 is an abundant number, since it is smaller than the sum of its proper divisors (47017641780).

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

22212302220 is a wasteful number, since it uses less digits than its factorization.

22212302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74424 (or 74416 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22212302220 its reverse (2220321222), we get a palindrome (24432623442).

The spelling of 22212302220 in words is "twenty-two billion, two hundred twelve million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 557 1114 1671 2228 2785 3342 5013 5570 6684 8355 10026 11140 15039 16710 20052 25065 30078 33420 50130 60156 73849 75195 100260 147698 150390 221547 295396 300780 369245 443094 664641 738490 886188 1107735 1329282 1476980 1993923 2215470 2658564 3323205 3987846 4430940 6646410 7975692 9969615 13292820 19939230 39878460 41133893 82267786 123401679 164535572 205669465 246803358 370205037 411338930 493606716 617008395 740410074 822677860 1110615111 1234016790 1480820148 1851025185 2221230222 2468033580 3702050370 4442460444 5553075555 7404100740 11106151110 22212302220